Coding Theory

Binary Weight Spectrum of the Extended $[2^m,5]$ Reed–Solomon Code and its Dual Code

E. Kolev, N. L. Manev


Abstract: We consider the extended $[2^m,5]$ Reed–Solomon code over $GF(2^m)$ and its binary image determined by the choice of a basis $\beta_1,\beta_2,\dots,\beta_m$ over $GF(2)$. The weight spectrum of the binary image for a certain class of bases is computed.

UDC: 621.391.15

Received: 29.12.1992

 English version: Problems of Information Transmission, 1994, 30:3, 224–231

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