Information on Result #1297717
Linear OA(2250, 464, F2, 60) (dual of [464, 214, 61]-code), using construction X with Varšamov bound based on
- linear OA(2245, 455, F2, 61) (dual of [455, 210, 62]-code), using
- concatenation of two codes [i] based on
- linear OA(6430, 65, F64, 30) (dual of [65, 35, 31]-code or 65-arc in PG(29,64)), using
- extended Reed–Solomon code RSe(35,64) [i]
- linear OA(21, 7, F2, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(6430, 65, F64, 30) (dual of [65, 35, 31]-code or 65-arc in PG(29,64)), using
- concatenation of two codes [i] based on
- linear OA(2245, 459, F2, 58) (dual of [459, 214, 59]-code), using Gilbert–Varšamov bound and bm = 2245 > Vbs−1(k−1) = 35 317331 989538 319648 632787 718484 603667 123308 157227 220714 353266 360411 398404 [i]
- linear OA(21, 5, F2, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s (see above)
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.
Other Results with Identical Parameters
None.
Depending Results
None.