Description
Also called a Pless double circulant code. A member of a family of self-dual ternary \([2p+2,p+1]_3\) codes for any prime \(p \equiv -1\) modulo 6. See [3; Sec. 10.5][4; pg. 87] for explicit constructions.
Parent
Cousin
- Ternary Golay code — The Pless symmetry code for \(p=5\) is the extended ternary Golay code.
References
- [1]
- V. Pless, On a new family of symmetry codes and related new five-designs, BAMS 75 (1969), 1339-1342
- [2]
- V. Pless, “Symmetry codes over GF(3) and new five-designs”, Journal of Combinatorial Theory, Series A 12, 119 (1972) DOI
- [3]
- W. C. Huffman and V. Pless, Fundamentals of Error-Correcting Codes (Cambridge University Press, 2003) DOI
- [4]
- J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups (Springer New York, 1999) DOI
Page edit log
- Victor V. Albert (2022-07-14) — most recent
Cite as:
“Pless symmetry code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/pless_symmetry