Information on Result #1753508
Digital (147, 174, 1887)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2174, 1887, F2, 4, 27) (dual of [(1887, 4), 7374, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2174, 2052, F2, 4, 27) (dual of [(2052, 4), 8034, 28]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2173, 2052, F2, 4, 27) (dual of [(2052, 4), 8035, 28]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2173, 8208, F2, 27) (dual of [8208, 8035, 28]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2171, 8206, F2, 27) (dual of [8206, 8035, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(24) [i] based on
- linear OA(2170, 8192, F2, 27) (dual of [8192, 8022, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(2157, 8192, F2, 25) (dual of [8192, 8035, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(21, 14, F2, 1) (dual of [14, 13, 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
- 2 times code embedding in larger space [i] based on linear OA(2171, 8206, F2, 27) (dual of [8206, 8035, 28]-code), using
- OOA 4-folding [i] based on linear OA(2173, 8208, F2, 27) (dual of [8208, 8035, 28]-code), using
- 21 times duplication [i] based on linear OOA(2173, 2052, F2, 4, 27) (dual of [(2052, 4), 8035, 28]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.