EMILIO M. GARZA, Circuit Judge:
Benjamin Herbert Boyle, sentenced to death for the murder of Gail Lenore Smith,, appeals the district court’s denial of his petition for writ of habeas corpus. Finding no reversible error, we affirm.
I
Gail Lenore Smith drove with her stepbrother and sister-in-law to a rest stop outside Fort Worth, Texas. Smith planned to obtain a ride from a truck driver in order to visit her mother in Amarillo. She asked her relatives to write down the license number of the truck she boarded, in case anything happened. A few minutes after arriving at the rest stop, Smith’s relatives observed her approach a male truck driver, converse with him, and then board his cherry-red Peterbilt tractor-trailer.
The next day, a passing truck driver discovered Smith’s naked body, bound with duct tape, concealed in a brushy area fourteen miles north of Amarillo. Although Smith’s relatives had failed to write down the truck’s license number, they were able to give authorities a description of the driver and the [183]*183truck, including the inscription “JEWETT SCOTT, Truck Line Inc., Magnum Oklahoma” which was written on the side of the truck. Through this information, the authorities were able to trace the tractor-trailer to Boyle, and after conferring with Jewett Scott Truck Lines in Oklahoma, learned that Boyle’s ultimate destination was Diboll, Texas. Boyle was arrested in Diboll, and gave investigators written consent to search his truck.1 Inside the truck, officers found several of Smith’s possessions. Officers also found hairs from Smith’s head and pubic area, some of which had been forcibly removed. In addition, blood stains in the sleeper portion of the truck were consistent with Smith’s blood type. Subsequently, Boyle’s fingerprints were found on the strips of duct tape used to bind Smith, and fibers taken from Smith’s body matched the carpet in Boyle’s truck. Medical evidence showed that Smith had been orally and anally raped, beaten with a blunt instrument, and strangled to death. Boyle continued to maintain that he had dropped Smith off at a truck stop unharmed.
Boyle was indicted for capital murder during the course of committing or attempting to commit aggravated sexual assault, and capital murder during the course of kidnap-ing. Boyle pleaded not guilty, and was tried before a jury. The evidence at trial consisted of the physical evidence linking Boyle to the murder, medical evidence indicating the sexual nature of the murder, and other evidence tending to show Boyle’s obsession with sex. The jury found Boyle guilty on all counts and, after hearing evidence relevant to punishment, returned affirmative answers to the special issues found in article 37.071 of the Texas Code of Criminal Procedure. As required by law, the trial court sentenced Boyle to death.
On automatic appeal, the Texas Court of Criminal Appeals reversed Boyle’s conviction on the grounds that his arrest had been unlawful, and thus the evidence obtained pursuant to that arrest had been admitted in violation of Boyle’s constitutional rights. Boyle v. State, 820 S.W.2d 122, 137 (Tex.Crim.App.1989). The state moved for rehearing en banc, and the Court of Criminal Appeals reversed itself, reinstating Boyle’s conviction and sentence on the grounds that Jewett Scott’s consent to search the truck was constitutionally adequate. Id. at 143. The Supreme Court denied Boyle’s petition for writ of certiorari. Boyle then pursued state habeas relief. A hearing was held, and the trial court entered its findings of facts and conclusions of law denying Boyle’s habe-as petition. The Court of Criminal Appeals affirmed the trial court, holding that the lower court’s findings and conclusions were supported by the record. Boyle then filed a petition for federal habeas relief in the Northern District of Texas. The district court denied his petition, but granted a certificate of probable cause to appeal. Boyle now appeals the district court’s order denying his habeas petition.
II
Boyle argues that the trial court erred in admitting evidence of his sexual habits and drawings. Boyle maintains that admission of this evidence violated his First Amendment right to not have evidence of his associations and expressions admitted against him at sentencing. While there is no “per se barrier to the admission of evidence concerning one’s beliefs and associations at sentencing simply because those beliefs and associations are protected by the First Amendment,” the government may not admit such evidence indiscriminately. Dawson v. Delaware, 503 U.S. 159, 165, 112 S.Ct. 1093, 1097, 117 L.Ed.2d 309 (1992). The Supreme Court has explicitly held that in order for such evidence to be admissible, it must be sufficiently related to the issues involved. See id. (disallowing admission of evidence indicating that defendant belonged to racist “Aryan Brotherhood” gang in prison where there was no racial component to the crime committed).2 Thus, we must determine if [184]*184the evidence of Boyle’s sexual relations and expressions was sufficiently related to the issues at sentencing. After carefully reviewing the record in this case, we hold that the evidence was sufficiently related to the crime committed to allow its admission during the capital sentencing phase of Boyle’s trial.3
At sentencing, the trial court first admitted all the evidence that had been admitted at the guilt-innocence phase, including three letters and brief testimony concerning Boyle’s preoccupation with sex.4 The state then put on additional testimony concerning Boyle’s sexual habits and evidence concerning his sexual drawings.5 The state argues that the evidence was sufficiently related to the see-ond special issue, the issue of future dangerousness, to survive a Dawson challenge.6 According to the state, the evidence showed that Boyle was obsessed with sex, and that he associated sex with violence, facts which ultimately resulted in a sexually motivated murder. After carefully reviewing the record, we believe the state satisfied the requirements of Dawson. As the Supreme Court noted in Dawson, “In many eases ... associational evidence might serve a legitimate purpose in showing that a defendant represents a future danger to society.” Dawson, 503 U.S. at 166, 112 S.Ct. at 1098. Dawson simply requires that the evidence be relevant to an issue at sentencing.7 Id. [185]*185Here the state put on evidence that Boyle was obsessed with sex, and that his sexual expression had a violent component. Unlike the situation in Dawson, where there was no connection between the evidence presented and the crime committed, Boyle was convicted for a murder which had a sexual component. See O’Neal v. Delo, 44 F.3d 655, 661 (8th Cir.) (finding evidence that defendant was a member of a racist group relevant and therefore admissible under Dawson where “racial animus as a motive for [the] murder was an issue in the trial”), cert. denied, — U.S. -, 116 S.Ct. 129, 133 L.Ed.2d 78 (1995). Evidence of Boyle’s sexual obsession was thus relevant to the issue of Boyle’s future dangerousness; it tended to show that Boyle “would constitute a continuing threat to society.” Tex.Code CRIM.Proc. art.
37.071(b)(2) (Vernon 1981).8
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EMILIO M. GARZA, Circuit Judge:
Benjamin Herbert Boyle, sentenced to death for the murder of Gail Lenore Smith,, appeals the district court’s denial of his petition for writ of habeas corpus. Finding no reversible error, we affirm.
I
Gail Lenore Smith drove with her stepbrother and sister-in-law to a rest stop outside Fort Worth, Texas. Smith planned to obtain a ride from a truck driver in order to visit her mother in Amarillo. She asked her relatives to write down the license number of the truck she boarded, in case anything happened. A few minutes after arriving at the rest stop, Smith’s relatives observed her approach a male truck driver, converse with him, and then board his cherry-red Peterbilt tractor-trailer.
The next day, a passing truck driver discovered Smith’s naked body, bound with duct tape, concealed in a brushy area fourteen miles north of Amarillo. Although Smith’s relatives had failed to write down the truck’s license number, they were able to give authorities a description of the driver and the [183]*183truck, including the inscription “JEWETT SCOTT, Truck Line Inc., Magnum Oklahoma” which was written on the side of the truck. Through this information, the authorities were able to trace the tractor-trailer to Boyle, and after conferring with Jewett Scott Truck Lines in Oklahoma, learned that Boyle’s ultimate destination was Diboll, Texas. Boyle was arrested in Diboll, and gave investigators written consent to search his truck.1 Inside the truck, officers found several of Smith’s possessions. Officers also found hairs from Smith’s head and pubic area, some of which had been forcibly removed. In addition, blood stains in the sleeper portion of the truck were consistent with Smith’s blood type. Subsequently, Boyle’s fingerprints were found on the strips of duct tape used to bind Smith, and fibers taken from Smith’s body matched the carpet in Boyle’s truck. Medical evidence showed that Smith had been orally and anally raped, beaten with a blunt instrument, and strangled to death. Boyle continued to maintain that he had dropped Smith off at a truck stop unharmed.
Boyle was indicted for capital murder during the course of committing or attempting to commit aggravated sexual assault, and capital murder during the course of kidnap-ing. Boyle pleaded not guilty, and was tried before a jury. The evidence at trial consisted of the physical evidence linking Boyle to the murder, medical evidence indicating the sexual nature of the murder, and other evidence tending to show Boyle’s obsession with sex. The jury found Boyle guilty on all counts and, after hearing evidence relevant to punishment, returned affirmative answers to the special issues found in article 37.071 of the Texas Code of Criminal Procedure. As required by law, the trial court sentenced Boyle to death.
On automatic appeal, the Texas Court of Criminal Appeals reversed Boyle’s conviction on the grounds that his arrest had been unlawful, and thus the evidence obtained pursuant to that arrest had been admitted in violation of Boyle’s constitutional rights. Boyle v. State, 820 S.W.2d 122, 137 (Tex.Crim.App.1989). The state moved for rehearing en banc, and the Court of Criminal Appeals reversed itself, reinstating Boyle’s conviction and sentence on the grounds that Jewett Scott’s consent to search the truck was constitutionally adequate. Id. at 143. The Supreme Court denied Boyle’s petition for writ of certiorari. Boyle then pursued state habeas relief. A hearing was held, and the trial court entered its findings of facts and conclusions of law denying Boyle’s habe-as petition. The Court of Criminal Appeals affirmed the trial court, holding that the lower court’s findings and conclusions were supported by the record. Boyle then filed a petition for federal habeas relief in the Northern District of Texas. The district court denied his petition, but granted a certificate of probable cause to appeal. Boyle now appeals the district court’s order denying his habeas petition.
II
Boyle argues that the trial court erred in admitting evidence of his sexual habits and drawings. Boyle maintains that admission of this evidence violated his First Amendment right to not have evidence of his associations and expressions admitted against him at sentencing. While there is no “per se barrier to the admission of evidence concerning one’s beliefs and associations at sentencing simply because those beliefs and associations are protected by the First Amendment,” the government may not admit such evidence indiscriminately. Dawson v. Delaware, 503 U.S. 159, 165, 112 S.Ct. 1093, 1097, 117 L.Ed.2d 309 (1992). The Supreme Court has explicitly held that in order for such evidence to be admissible, it must be sufficiently related to the issues involved. See id. (disallowing admission of evidence indicating that defendant belonged to racist “Aryan Brotherhood” gang in prison where there was no racial component to the crime committed).2 Thus, we must determine if [184]*184the evidence of Boyle’s sexual relations and expressions was sufficiently related to the issues at sentencing. After carefully reviewing the record in this case, we hold that the evidence was sufficiently related to the crime committed to allow its admission during the capital sentencing phase of Boyle’s trial.3
At sentencing, the trial court first admitted all the evidence that had been admitted at the guilt-innocence phase, including three letters and brief testimony concerning Boyle’s preoccupation with sex.4 The state then put on additional testimony concerning Boyle’s sexual habits and evidence concerning his sexual drawings.5 The state argues that the evidence was sufficiently related to the see-ond special issue, the issue of future dangerousness, to survive a Dawson challenge.6 According to the state, the evidence showed that Boyle was obsessed with sex, and that he associated sex with violence, facts which ultimately resulted in a sexually motivated murder. After carefully reviewing the record, we believe the state satisfied the requirements of Dawson. As the Supreme Court noted in Dawson, “In many eases ... associational evidence might serve a legitimate purpose in showing that a defendant represents a future danger to society.” Dawson, 503 U.S. at 166, 112 S.Ct. at 1098. Dawson simply requires that the evidence be relevant to an issue at sentencing.7 Id. [185]*185Here the state put on evidence that Boyle was obsessed with sex, and that his sexual expression had a violent component. Unlike the situation in Dawson, where there was no connection between the evidence presented and the crime committed, Boyle was convicted for a murder which had a sexual component. See O’Neal v. Delo, 44 F.3d 655, 661 (8th Cir.) (finding evidence that defendant was a member of a racist group relevant and therefore admissible under Dawson where “racial animus as a motive for [the] murder was an issue in the trial”), cert. denied, — U.S. -, 116 S.Ct. 129, 133 L.Ed.2d 78 (1995). Evidence of Boyle’s sexual obsession was thus relevant to the issue of Boyle’s future dangerousness; it tended to show that Boyle “would constitute a continuing threat to society.” Tex.Code CRIM.Proc. art.
37.071(b)(2) (Vernon 1981).8 Accordingly, we hold that the district court did not err in finding a sufficient nexus under Dawson to allow the state to present evidence of Boyle’s sexual habits and sexual drawings at sentencing.9
Ill
Boyle next contends that he was denied a fair trial because of the state’s presentation of false and misleading testimony from a clinical pathologist, Dr. Ralph Erdmann. Boyle contends that Dr. Erdmann’s gross misconduct in other cases indicates that the testimony Dr. Erdmann gave was perjured. Boyle also maintains that the prosecutor knew that Erdmann was unreliable in his handling of evidence and in his testimony from the stand, but failed to notify the de[186]*186fense in violation of the dictates of Brady v. Maryland, 373 U.S. 83, 83 S.Ct. 1194, 10 L.Ed.2d 215 (1963).
In order to establish a due process violation based on the government’s use of false or misleading testimony, the defendant must show (1) that the witness’s testimony was actually false, (2) that the testimony was material, and (3) that the prosecution had knowledge that the witness’s testimony was false. Westley v. Johnson, 83 F.3d 714, 726 (5th Cir.1996); East v. Scott, 55 F.3d 996, 1005 (5th Cir.1995). We will reverse a conviction obtained through the use of tainted testimony. United States v. Blackburn, 9 F.3d 353, 357 (5th Cir.1993), cert. denied, — U.S. -, 115 S.Ct. 102, 130 L.Ed.2d 51 (1994). In addition, the state must also disclose information that would serve to impeach a witness. United States v. Martinez-Mercado, 888 F.2d 1484, 1488 (5th Cir.1989). Failure to disclose such evidence will result in reversal if it is “reasonably probable” that disclosure of such evidence would have made a difference in the result at trial. Kyles v. Whitley, — U.S.-,-, 115 S.Ct. 1555, 1566, 131 L.Ed.2d 490 (1995).
Boyle’s attack on Dr. Erdmann’s testimony is based on the testimony of one expert at trial, and two experts who testified at Boyle’s habeas hearing. These experts disagreed with Erdmann’s analysis and interpretation of the evidence presented in Boyle’s case.10 Boyle also points to the fact that Dr. Erdmann subsequently pleaded no contest to charges that he falsified autopsies in other cases as evidence that Dr. Erdmann lied in this case.11 As the district court noted, however, the state trial court, in reviewing Boyle’s habeas petition, made findings of fact rejecting Boyle’s contentions that Dr. Erdmann perjured himself in Boyle’s case. These findings of fact are entitled to a “presumption of correctness” in federal habe-as proceedings. Williams v. Collins, 16 F.3d 626 (5th Cir.), cert. denied, — U.S. -, 115 S.Ct. 42, 129 L.Ed.2d 937 (1994). The presumption is particularly strong where, as here, the habeas court was the same court that presided over the trial. May v. Collins, 955 F.2d 299, 314 (5th Cir.), cert. denied, 504 U.S. 901, 112 S.Ct. 1925, 118 L.Ed.2d 533 (1992).
After carefully reviewing the record, we cannot say that Boyle has presented evidence sufficient to overcome the presumption of correctness owed state habeas court findings of fact. The fact that other experts disagreed with Dr. Erdmann is insufficient, by itself, to call Dr. Erdmann’s testimony into question. Additionally, we note, as the district court did, that the state presented a great deal of physical evidence connecting Boyle to the murder. Dr. Erdmann’s testimony was consistent with the state’s physical evidence, whereas much of the conflicting expert testimony was inconsistent with this other evidence.12 This alignment supports the district court’s decision to credit the state habeas court’s finding that Erdmann did not testify falsely. Finally, although Dr. Erd-mann has been accused of misconduct in other cases, Boyle has presented no evidence that Dr. Erdmann did so in this particular case. Accordingly, Boyle has failed to over[187]*187come the presumption of correctness applied to the state habeas court’s factual findings, and we therefore affirm the district court’s ruling that Dr. Erdmann did not testify falsely or mislead the jury.13
Further, we also reject Boyle’s contention that the state knew of Erdmann’s unreliability prior to Boyle’s trial and failed to notify the defense for impeachment purposes. The state habeas court made a finding that the prosecution was not aware of Erdmann’s serious shortcomings at the time of Boyle’s trial. This finding is also entitled to a presumption of correctness. A careful review of the record shows that the only evidence indicating that the state had any reservations about Erdmann was prosecution testimony relating to Erdmann’s workload, not his competence or professional practices. It was not until 1987 or 1988, after the completion of Boyle’s trial, that the prosecution was alerted to the possibility that Dr. Erdmann had falsified autopsies and committed perjury in other cases. Accordingly, we agree with the district court that Boyle has failed to establish that the state improperly withheld impeachment evidence from the defense. Boyle has presented no evidence to call into question the state habeas court’s findings, upheld by the district court, that Erdmann did not perjure himself in this case, and that the prosecution had no knowledge of Erdmann’s abuses prior to trial.
IV
Boyle argues that the district court erred in denying his petition for habeas relief on the ground that his attorney rendered ineffective assistance at the punishment phase of his trial. According to Boyle, his counsel failed to present significant mitigating evidence that was either known to his counsel or should have been known to his counsel. Boyle maintains that his counsel did not present evidence of his mental illness, violent family background, economic deprivation, voluntary intoxication, drug and alcohol addictions, and testimony as to his many positive traits.
We review ineffective assistance of counsel claims under the standard set forth in Strickland v. Washington, 466 U.S. 668, 104 S.Ct. 2052, 80 L.Ed.2d 674 (1984). Ineffective assistance of counsel is a mixed question of law and fact which we review de novo. Id. at 698, 104 S.Ct. at 2070; Bryant v. Scott, 28 F.3d 1411, 1414 (5th Cir.1994). To obtain reversal of a conviction or death sentence based on ineffective assistance of counsel, a convicted defendant must show that (1) his counsel’s performance was deficient, and (2) the deficient performance prejudiced his defense. Strickland, 466 U.S. at 687, 104 S.Ct. at 2064. A finding of deficient performance requires a showing that counsel’s performance fell below an objective standard of reasonableness as defined by prevailing professional norms. Id. Informed strategic decisions are given a heavy measure of deference. Mann v. Scott, 41 F.3d 968, 984 (5th Cir.1994), cert, denied, — U.S. -, 115 S.Ct. 1977, 131 L.Ed.2d 865 (1995). In order to satisfy the prejudice prong, the defendant must show that the outcome was rendered unreliable or the proceeding fundamentally unfair. Johnson v. Scott, 68 F.3d 106, 109 (5th Cir.1995), cert. denied, — U.S. -, 116 S.Ct. 1358, 134 L.Ed.2d 525 (1996).
After careful review of the record, we find that Boyle has failed to establish that his counsel was deficient at trial. At Boyle’s writ hearing, his trial counsel testified that he did not introduce certain evidence concerning Boyle’s background and character for tactical reasons. As to the evidence of Boyle’s violent family background, trial counsel responded, “It would have been aggravating.” As counsel put it, “We were trying to keep as much violence as we possibly could out of the record.” Counsel was concerned that evidence of his abusive father would cause the jury to think, “like father, like son.” As to the evidence of [188]*188drug and alcohol abuse, counsel stated, “It would have been aggravating.” Counsel continued, “I did not think it was beneficial, particularly in 1986 to tell this jury that he was a pill popping ... truck driver.”14 Counsel also made strategic decisions not to put into evidence Boyle’s non-sexual drawings,15 and the testimony of other women with whom Boyle had had sexual relations.16 In essence, all the evidence that Boyle maintains should have been presented at the punishment phase of his capital murder trial had a double-edged quality.17 See Mann, 41 F.3d at 984 (noting the heavy deference owed trial counsel when deciding strategically to forego admitting evidence of a “double edged nature” which might ultimately harm a defendant’s case). Accordingly, we find that Boyle has failed to overcome the strong presumption that these informed tactical decisions were reasonable under the circumstances. Id. Boyle has thus failed to satisfy the deficiency prong of Strickland, and we hold that the district court did not err in rejecting Boyle’s habeas petition on the grounds that his counsel provided ineffective assistance.18
V
We note that while this appeal was pending, Congress passed The Antiterrorism and Effective Death Penalty Act of 1996, Pub.L. No. 104-132. 110 Stat. 1214 (“AEDPA”). The AEDPA modifies the statutory provisions relevant to all habeas corpus cases. These changes include, inter alia: a one year statute of limitation for habeas cases; new procedures for obtaining a “certificate of ap-pealability” to the circuit courts; and limitations on successive habeas petitions. See generally §§ 101-106. Congress, however, did not specify an effective date for §§ 101-106. Because we reject Boyle’s habeas petition under the old standards, which we read as more permissive, we decline to address whether Congress intended these general provisions to apply to appeals pending when the AEDPA was enacted. See Callins v. Johnson, 89 F.3d 210, 216 (5th Cir.1996) (declining to address whether the Act applies where it would make no difference in the outcome of the case). Additionally, the [189]*189AEDPA alters the standards of review applicable to death penalty habeas cases, arguably restricting the scope of our review.19 Although § 107 specifies that it shall be applicable to all cases “pending on or after the date of enactment of this Act,” the state is only entitled to the more restrictive standards of review if certain provisions, designed to ensure appointment of counsel, are met.20 Because we reject Boyle’s claims under the old standards of review, we decline to address whether Texas has met its burden under the Act.
VI
For the foregoing reasons, the district court’s decision to deny Boyle’s petition for writ of habeas corpus is AFFIRMED.