Information on Result #1710670
Digital (116, 139, 552)-net over F2, using net defined by OOA based on linear OOA(2139, 552, F2, 30, 23) (dual of [(552, 30), 16421, 24]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2139, 1105, F2, 6, 23) (dual of [(1105, 6), 6491, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2139, 1105, F2, 3, 23) (dual of [(1105, 3), 3176, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2139, 1375, F2, 3, 23) (dual of [(1375, 3), 3986, 24]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2139, 4125, F2, 23) (dual of [4125, 3986, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2139, 4126, F2, 23) (dual of [4126, 3987, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(18) [i] based on
- linear OA(2133, 4096, F2, 23) (dual of [4096, 3963, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- 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(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(22) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(2139, 4126, F2, 23) (dual of [4126, 3987, 24]-code), using
- OOA 3-folding [i] based on linear OA(2139, 4125, F2, 23) (dual of [4125, 3986, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(2139, 1375, F2, 3, 23) (dual of [(1375, 3), 3986, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2139, 1105, F2, 3, 23) (dual of [(1105, 3), 3176, 24]-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.