HOW TO EXPAND A SELF-ORTHOGONAL CODE

초록

In this paper, we show how to expand Euclidean/Hermitian selforthogonal code preserving their orthogonal property. Our results show that every k-dimension Hermitian self-orthogonal code is contained in a (k + 1)dimensional Hermitian self-orthogonal code. Also, for k < n/2 - 1, every [n, k] Euclidean self-orthogonal code is contained in an [n, k + 1] Euclidean self-orthogonal code. Moreover, for k = n/2 - 1 and p = 2, we can also fulfill the expanding process. But, for k = n/2 - 1 and p odd prime, the expanding process can be fulfilled if and only if an extra condition must be satisfied. We also propose two feasible algorithms on these expanding procedures.

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