Duadic Group Algebra Codes

Computer Science – Information Theory

Scientific paper

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5 pages

Scientific paper

Duadic group algebra codes are a generalization of quadratic residue codes.
This paper settles an open problem raised by Zhu concerning the existence of
duadic group algebra codes. These codes can be used to construct degenerate
quantum stabilizer codes that have the nice feature that many errors of small
weight do not need error correction; this fact is illustrated by an example.

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