More binary covering codes are normal

G.J.M. Wee, van

doi:10.1109/18.59947

More binary covering codes are normal

G.J.M. Wee, van

Mathematics and Computer Science

Research output: Contribution to journal › Article › Academic › peer-review

10 Citations (Scopus)

Abstract

It is shown that every optimal binary code with covering radius R=1 is normal. This (parity) proves a conjecture of Cohen, Lobstein, and Sloane (1986). It is also proved that codes with minimal distance 2R or 2R+1 are normal. A generalization of Frankl's construction (1987) of abnormal codes is given.

Original language	English
Pages (from-to)	1466-1470
Journal	IEEE Transactions on Information Theory
Volume	36
Issue number	6
DOIs	https://doi.org/10.1109/18.59947
Publication status	Published - 1990

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title = "More binary covering codes are normal",

abstract = "It is shown that every optimal binary code with covering radius R=1 is normal. This (parity) proves a conjecture of Cohen, Lobstein, and Sloane (1986). It is also proved that codes with minimal distance 2R or 2R+1 are normal. A generalization of Frankl's construction (1987) of abnormal codes is given.",

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AB - It is shown that every optimal binary code with covering radius R=1 is normal. This (parity) proves a conjecture of Cohen, Lobstein, and Sloane (1986). It is also proved that codes with minimal distance 2R or 2R+1 are normal. A generalization of Frankl's construction (1987) of abnormal codes is given.

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DO - 10.1109/18.59947

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VL - 36

SP - 1466

EP - 1470

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 6

ER -

More binary covering codes are normal

Abstract

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