Information on Result #1707698
Digital (53, 62, 9283)-net over F2, using net defined by OOA based on linear OOA(262, 9283, F2, 9, 9) (dual of [(9283, 9), 83485, 10]-NRT-code), using
- appending kth column [i] based on linear OOA(262, 9283, F2, 8, 9) (dual of [(9283, 8), 74202, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(262, 9283, F2, 3, 9) (dual of [(9283, 3), 27787, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(262, 10928, F2, 3, 9) (dual of [(10928, 3), 32722, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(262, 32784, F2, 9) (dual of [32784, 32722, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(261, 32768, F2, 9) (dual of [32768, 32707, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(246, 32768, F2, 7) (dual of [32768, 32722, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(21, 16, F2, 1) (dual of [16, 15, 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(8) ⊂ Ce(6) [i] based on
- OOA 3-folding [i] based on linear OA(262, 32784, F2, 9) (dual of [32784, 32722, 10]-code), using
- discarding factors / shortening the dual code based on linear OOA(262, 10928, F2, 3, 9) (dual of [(10928, 3), 32722, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(262, 9283, F2, 3, 9) (dual of [(9283, 3), 27787, 10]-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.