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Further Examples of Self-Dual Codes

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Self-Dual Codes and Invariant Theory

Abstract

This chapter describes some families of self-dual codes that cannot be obtained from representations of quasisimple form rings: codes over Z/mZ (§8.1), then the special cases of codes over Z/4Z (§8.2) and Z/8Z (§8.3), codes over more general Galois rings (§8.4), and codes over Fq2 + Fq2 u with u2 = 0 (§8.5).

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Nebe, G., Rains, E.M., Sloane, N.J. (2006). Further Examples of Self-Dual Codes. In: Self-Dual Codes and Invariant Theory. Algorithms and Computation in Mathematics, vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-30731-1_8

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