New Linear Codes with Covering Radius 2 and Odd Basis

Designs, Codes, and Cryptography

Volumn 16, Issue 1, 1999, Pages 29-39

  Davydov, Alexander A ^a   Östergård, Patric R J ^b  

^a INSTITUTE FOR INFORMATION TRANSMISSION PROBLEMS   (Russian Federation)

^b AALTO UNIVERSITY   (Finland)

Author keywords

BCH code; Covering code; Covering radius; Finite field; Length function

Indexed keywords

EID: 0042004038     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008370224461     Document Type: Article

References (9)

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4. A. A. Davydov, On nonbinary linear codes with covering radius two, Proceedings of the Fifth International Workshop on Algebraic and Combinatorial Coding Theory, Unicorn, Shumen, Bulgaria (1996) pp. 105-110.
5. A. A. Davydov, Constructions and families of nonbinary linear codes with covering radius 2, submitted.
6. A. A. Davydov and P. R. J. Östergård, Recursive constructions of complete caps, submitted.
7. R. Lidl and H. Niederreiter, Finite Fields, Encyclopedia of Mathematics and its Applications, Vol. 20, Addison-Wesley, Reading, MA (1983).
8. P. R. J. Östergård, New constructions for q-ary covering codes, Ars Combin., to appear.
9. F. Pambianco and L. Storme, Small complete caps in spaces of even characteristic, J. Combin. Theory. Ser. A, Vol. 75 (1996) pp. 70-84.