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The Automorphism Group of an Extremal 72, 36, 16 Code Does Not Contain Z7, Z3×Z3, or D10.

, and . IEEE Trans. Inf. Theory, 58 (11): 6916-6924 (2012)

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An extremal 72, 36, 16 binary code has no automorphism group containing Z2 x Z4, Q8, or Z10.. Finite Fields Their Appl., 18 (3): 563-566 (2012)Binary Hermitian Lattices over Number Fields., and . Exp. Math., 31 (1): 280-301 (2022)Self-dual codes and invariant theory.. Algebraic Aspects of Digital Communications, volume 24 of NATO Science for Peace and Security Series - D: Information and Communication Security, IOS Press, (2009)Computing with Arithmetic Groups.. ISSAC, page 1-2. ACM, (2017)Interleaver Design for Short Block Length Turbo Codes., , , and . ICC (2), page 628-632. IEEE, (2000)Lattices and Spherical Designs.. ANTS, volume 6197 of Lecture Notes in Computer Science, page 4-5. Springer, (2010)The Structure of Maximal Finite Primitive Matrix Groups.. Algorithmic Algebra and Number Theory, page 417-422. Springer, (1997)Degenerate flag varieties in network coding., and . CoRR, (2020)On the Classification of Lattices Over ℚ(√-3) Which Are Even Unimodular ℤ-Lattices of Rank 32., , , and . Int. J. Math. Mathematical Sciences, (2013)The Automorphism Group of an Extremal 72, 36, 16 Code Does Not Contain Z7, Z3×Z3, or D10., and . IEEE Trans. Inf. Theory, 58 (11): 6916-6924 (2012)