Information on Result #1711876
Digital (200, 232, 1882)-net over F2, using net defined by OOA based on linear OOA(2232, 1882, F2, 40, 32) (dual of [(1882, 40), 75048, 33]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2232, 3765, F2, 8, 32) (dual of [(3765, 8), 29888, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2232, 3766, F2, 8, 32) (dual of [(3766, 8), 29896, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2232, 3766, F2, 4, 32) (dual of [(3766, 4), 14832, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2232, 4105, F2, 4, 32) (dual of [(4105, 4), 16188, 33]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2232, 16420, F2, 32) (dual of [16420, 16188, 33]-code), using
- strength reduction [i] based on linear OA(2232, 16420, F2, 33) (dual of [16420, 16188, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [i] based on
- linear OA(2225, 16385, F2, 33) (dual of [16385, 16160, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(2197, 16385, F2, 29) (dual of [16385, 16188, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(27, 35, F2, 3) (dual of [35, 28, 4]-code or 35-cap in PG(6,2)), using
- discarding factors / shortening the dual code based on linear OA(27, 63, F2, 3) (dual of [63, 56, 4]-code or 63-cap in PG(6,2)), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 26−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 4 [i]
- discarding factors / shortening the dual code based on linear OA(27, 63, F2, 3) (dual of [63, 56, 4]-code or 63-cap in PG(6,2)), using
- construction X applied to C([0,16]) ⊂ C([0,14]) [i] based on
- strength reduction [i] based on linear OA(2232, 16420, F2, 33) (dual of [16420, 16188, 34]-code), using
- OOA 4-folding [i] based on linear OA(2232, 16420, F2, 32) (dual of [16420, 16188, 33]-code), using
- discarding factors / shortening the dual code based on linear OOA(2232, 4105, F2, 4, 32) (dual of [(4105, 4), 16188, 33]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2232, 3766, F2, 4, 32) (dual of [(3766, 4), 14832, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2232, 3766, F2, 8, 32) (dual of [(3766, 8), 29896, 33]-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.