Information on Result #1317728
Linear OA(355, 81, F3, 24) (dual of [81, 26, 25]-code), using construction X with Varšamov bound based on
- linear OA(351, 75, F3, 24) (dual of [75, 24, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(351, 79, F3, 24) (dual of [79, 28, 25]-code), using
- 2 times truncation [i] based on linear OA(353, 81, F3, 26) (dual of [81, 28, 27]-code), using
- a “Gra†code from Grassl’s database [i]
- 2 times truncation [i] based on linear OA(353, 81, F3, 26) (dual of [81, 28, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(351, 79, F3, 24) (dual of [79, 28, 25]-code), using
- linear OA(351, 77, F3, 21) (dual of [77, 26, 22]-code), using Gilbert–Varšamov bound and bm = 351 > Vbs−1(k−1) = 1 382151 202962 906936 707313 [i]
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [i]
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.