Information on Result #1711516
Digital (151, 181, 587)-net over F2, using net defined by OOA based on linear OOA(2181, 587, F2, 40, 30) (dual of [(587, 40), 23299, 31]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2181, 1175, F2, 8, 30) (dual of [(1175, 8), 9219, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2181, 1176, F2, 8, 30) (dual of [(1176, 8), 9227, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2181, 1176, F2, 3, 30) (dual of [(1176, 3), 3347, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2181, 1369, F2, 3, 30) (dual of [(1369, 3), 3926, 31]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2181, 4107, F2, 30) (dual of [4107, 3926, 31]-code), using
- discarding factors / shortening the dual code based on linear OA(2181, 4108, F2, 30) (dual of [4108, 3927, 31]-code), using
- 1 times truncation [i] based on linear OA(2182, 4109, F2, 31) (dual of [4109, 3927, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(28) [i] based on
- linear OA(2181, 4096, F2, 31) (dual of [4096, 3915, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2169, 4096, F2, 29) (dual of [4096, 3927, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(30) ⊂ Ce(28) [i] based on
- 1 times truncation [i] based on linear OA(2182, 4109, F2, 31) (dual of [4109, 3927, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(2181, 4108, F2, 30) (dual of [4108, 3927, 31]-code), using
- OOA 3-folding [i] based on linear OA(2181, 4107, F2, 30) (dual of [4107, 3926, 31]-code), using
- discarding factors / shortening the dual code based on linear OOA(2181, 1369, F2, 3, 30) (dual of [(1369, 3), 3926, 31]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2181, 1176, F2, 3, 30) (dual of [(1176, 3), 3347, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2181, 1176, F2, 8, 30) (dual of [(1176, 8), 9227, 31]-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.