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A Good Method of Combining Codes

Publication ,  Journal Article
Calderbank, R
Published in: Linear Algebra and Its Applications
January 1, 1980

Let q be an odd prime power, and suppose q−1 (mod8), Let C(q) and C(q)∗ be the two extended binary quadratic residue codes (QR codes) of length q+1, and let T(q)={(a+x;b+x;a+b+x):a,b∈C(q),x∈C(q)∗}. We establish a square root bound on the minimum weight in T(q). Since the same type of bound applies to C(q) and C(q)∗, this is a good method of combining codes. © 1980, All rights reserved.

Duke Scholars

Published In

Linear Algebra and Its Applications

DOI

ISSN

0024-3795

Publication Date

January 1, 1980

Volume

32

Start / End Page

115 / 124

Related Subject Headings

  • Numerical & Computational Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 08 Information and Computing Sciences
  • 01 Mathematical Sciences
 

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Calderbank, R. (1980). A Good Method of Combining Codes. Linear Algebra and Its Applications, 32, 115–124. https://doi.org/10.1016/0024-3795(80)90011-7
Calderbank, R. “A Good Method of Combining Codes.” Linear Algebra and Its Applications 32 (January 1, 1980): 115–24. https://doi.org/10.1016/0024-3795(80)90011-7.
Calderbank R. A Good Method of Combining Codes. Linear Algebra and Its Applications. 1980 Jan 1;32:115–24.
Calderbank, R. “A Good Method of Combining Codes.” Linear Algebra and Its Applications, vol. 32, Jan. 1980, pp. 115–24. Scopus, doi:10.1016/0024-3795(80)90011-7.
Calderbank R. A Good Method of Combining Codes. Linear Algebra and Its Applications. 1980 Jan 1;32:115–124.
Journal cover image

Published In

Linear Algebra and Its Applications

DOI

ISSN

0024-3795

Publication Date

January 1, 1980

Volume

32

Start / End Page

115 / 124

Related Subject Headings

  • Numerical & Computational Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 08 Information and Computing Sciences
  • 01 Mathematical Sciences