Information on Result #1711942
Digital (158, 191, 452)-net over F2, using net defined by OOA based on linear OOA(2191, 452, F2, 40, 33) (dual of [(452, 40), 17889, 34]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2191, 905, F2, 8, 33) (dual of [(905, 8), 7049, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2191, 906, F2, 8, 33) (dual of [(906, 8), 7057, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2191, 906, F2, 2, 33) (dual of [(906, 2), 1621, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2191, 1047, F2, 2, 33) (dual of [(1047, 2), 1903, 34]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2190, 1047, F2, 2, 33) (dual of [(1047, 2), 1904, 34]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2190, 2094, F2, 33) (dual of [2094, 1904, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(26) [i] based on
- linear OA(2177, 2048, F2, 33) (dual of [2048, 1871, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(2144, 2048, F2, 27) (dual of [2048, 1904, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(213, 46, F2, 5) (dual of [46, 33, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(213, 63, F2, 5) (dual of [63, 50, 6]-code), using
- construction X applied to Ce(32) ⊂ Ce(26) [i] based on
- OOA 2-folding [i] based on linear OA(2190, 2094, F2, 33) (dual of [2094, 1904, 34]-code), using
- 21 times duplication [i] based on linear OOA(2190, 1047, F2, 2, 33) (dual of [(1047, 2), 1904, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2191, 1047, F2, 2, 33) (dual of [(1047, 2), 1903, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2191, 906, F2, 2, 33) (dual of [(906, 2), 1621, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2191, 906, F2, 8, 33) (dual of [(906, 8), 7057, 34]-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.