Information on Result #1710396
Digital (97, 116, 584)-net over F2, using net defined by OOA based on linear OOA(2116, 584, F2, 25, 19) (dual of [(584, 25), 14484, 20]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2116, 1169, F2, 5, 19) (dual of [(1169, 5), 5729, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2116, 1169, F2, 3, 19) (dual of [(1169, 3), 3391, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2116, 1375, F2, 3, 19) (dual of [(1375, 3), 4009, 20]-NRT-code), using
- 21 times duplication [i] based on linear OOA(2115, 1375, F2, 3, 19) (dual of [(1375, 3), 4010, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2115, 4125, F2, 19) (dual of [4125, 4010, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2115, 4126, F2, 19) (dual of [4126, 4011, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- linear OA(2109, 4096, F2, 19) (dual of [4096, 3987, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(285, 4096, F2, 15) (dual of [4096, 4011, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(26, 30, F2, 3) (dual of [30, 24, 4]-code or 30-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(2115, 4126, F2, 19) (dual of [4126, 4011, 20]-code), using
- OOA 3-folding [i] based on linear OA(2115, 4125, F2, 19) (dual of [4125, 4010, 20]-code), using
- 21 times duplication [i] based on linear OOA(2115, 1375, F2, 3, 19) (dual of [(1375, 3), 4010, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2116, 1375, F2, 3, 19) (dual of [(1375, 3), 4009, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2116, 1169, F2, 3, 19) (dual of [(1169, 3), 3391, 20]-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.