Information on Result #1297296
Linear OA(2163, 204, F2, 56) (dual of [204, 41, 57]-code), using construction X with Varšamov bound based on
- linear OA(2157, 197, F2, 56) (dual of [197, 40, 57]-code), using
- discarding factors / shortening the dual code based on linear OA(2157, 198, F2, 56) (dual of [198, 41, 57]-code), using
- 3 times code embedding in larger space [i] based on linear OA(2154, 195, F2, 56) (dual of [195, 41, 57]-code), using
- a “Dup†code from Brouwer’s database [i]
- 3 times code embedding in larger space [i] based on linear OA(2154, 195, F2, 56) (dual of [195, 41, 57]-code), using
- discarding factors / shortening the dual code based on linear OA(2157, 198, F2, 56) (dual of [198, 41, 57]-code), using
- linear OA(2157, 198, F2, 50) (dual of [198, 41, 51]-code), using Gilbert–Varšamov bound and bm = 2157 > Vbs−1(k−1) = 95306 715636 266513 134699 454385 526278 449845 086392 [i]
- linear OA(25, 6, F2, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,2)), using
- dual of repetition code with length 6 [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.