Information on Result #1691445
Linear OOA(2158, 582, F2, 8, 26) (dual of [(582, 8), 4498, 27]-NRT-code), using OOA 2-folding based on linear OOA(2158, 1164, F2, 4, 26) (dual of [(1164, 4), 4498, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2158, 1164, F2, 3, 26) (dual of [(1164, 3), 3334, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2158, 1369, F2, 3, 26) (dual of [(1369, 3), 3949, 27]-NRT-code), using
- strength reduction [i] based on linear OOA(2158, 1369, F2, 3, 27) (dual of [(1369, 3), 3949, 28]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2158, 4107, F2, 27) (dual of [4107, 3949, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(2158, 4109, F2, 27) (dual of [4109, 3951, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(24) [i] based on
- linear OA(2157, 4096, F2, 27) (dual of [4096, 3939, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2145, 4096, F2, 25) (dual of [4096, 3951, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(21, 13, F2, 1) (dual of [13, 12, 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
- construction X applied to Ce(26) ⊂ Ce(24) [i] based on
- discarding factors / shortening the dual code based on linear OA(2158, 4109, F2, 27) (dual of [4109, 3951, 28]-code), using
- OOA 3-folding [i] based on linear OA(2158, 4107, F2, 27) (dual of [4107, 3949, 28]-code), using
- strength reduction [i] based on linear OOA(2158, 1369, F2, 3, 27) (dual of [(1369, 3), 3949, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2158, 1369, F2, 3, 26) (dual of [(1369, 3), 3949, 27]-NRT-code), 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.
Other Results with Identical Parameters
None.
Depending Results
None.