Information on Result #1712226
Digital (211, 250, 663)-net over F2, using net defined by OOA based on linear OOA(2250, 663, F2, 49, 39) (dual of [(663, 49), 32237, 40]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2250, 1990, F2, 7, 39) (dual of [(1990, 7), 13680, 40]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2250, 1990, F2, 4, 39) (dual of [(1990, 4), 7710, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2250, 2051, F2, 4, 39) (dual of [(2051, 4), 7954, 40]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2249, 2051, F2, 4, 39) (dual of [(2051, 4), 7955, 40]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2249, 8204, F2, 39) (dual of [8204, 7955, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(2249, 8206, F2, 39) (dual of [8206, 7957, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(36) [i] based on
- linear OA(2248, 8192, F2, 39) (dual of [8192, 7944, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2235, 8192, F2, 37) (dual of [8192, 7957, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(38) ⊂ Ce(36) [i] based on
- discarding factors / shortening the dual code based on linear OA(2249, 8206, F2, 39) (dual of [8206, 7957, 40]-code), using
- OOA 4-folding [i] based on linear OA(2249, 8204, F2, 39) (dual of [8204, 7955, 40]-code), using
- 21 times duplication [i] based on linear OOA(2249, 2051, F2, 4, 39) (dual of [(2051, 4), 7955, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2250, 2051, F2, 4, 39) (dual of [(2051, 4), 7954, 40]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2250, 1990, F2, 4, 39) (dual of [(1990, 4), 7710, 40]-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.