Coding Theory

Orbit Partition of a Vector Space over $GF(2)$ under the Action of the Linear-Fractional Group

A. R. Akhkyamov


Abstract: We consider the orbit partition of a vector space under the action of an automorphism group of a code. This partition allows us to describe the sets of possible detected error vectors by a minimal list of representatives. We consider a linear-fractional subgroup of the automorphism group of a quadratic residue code.

UDC: 621.391.15

Received: 25.02.1994
Revised: 13.03.1995

 English version: Problems of Information Transmission, 1995, 31:3, 236–243

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