Neb. Rev. Stat. § 27-608

(1) The credibility of a witness may be attacked or supported by evidence in the form of reputation or opinion, but subject to these limitations: (a) The evidence may refer only to character for truthfulness or untruthfulness, and (b) evidence of truthful character is admissible only after the character of the witness for truthfulness has been attacked by opinion or reputation evidence or otherwise. (2) Specific instances of the conduct of a witness, for the purpose of attacking or supporting his credibility, other than conviction of crime as provided in section 27-609 , may not be proved by extrinsic evidence. They may, however, in the discretion of the court, if probative of truthfulness or untruthfulness be inquired into on cross-examination of the witness (a) concerning his character for truthfulness or untruthfulness, or (b) concerning the character for truthfulness or untruthfulness of another witness as to which character the witness being cross-examined has testified. The giving of testimony, whether by an accused or by any other witness, does not operate as a waiver of his privilege against self-incrimination when examined with respect to matters which relate only to credibility.