Information on Result #1321321
Linear OA(3158, 195, F3, 72) (dual of [195, 37, 73]-code), using construction X with Varšamov bound based on
- linear OA(3156, 192, F3, 72) (dual of [192, 36, 73]-code), using
- 3 times truncation [i] based on linear OA(3159, 195, F3, 75) (dual of [195, 36, 76]-code), using
- a “GraQC†code from Grassl’s database [i]
- 3 times truncation [i] based on linear OA(3159, 195, F3, 75) (dual of [195, 36, 76]-code), using
- linear OA(3156, 193, F3, 70) (dual of [193, 37, 71]-code), using Gilbert–Varšamov bound and bm = 3156 > Vbs−1(k−1) = 139 232543 839086 212333 028757 673500 293090 431462 337759 555450 328918 887182 579457 [i]
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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.