Information on Result #1758357
Digital (221, 239, 1677806)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2239, 1677806, F2, 5, 18) (dual of [(1677806, 5), 8388791, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(232, 86, F2, 5, 9) (dual of [(86, 5), 398, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(232, 86, F2, 2, 9) (dual of [(86, 2), 140, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(232, 172, F2, 9) (dual of [172, 140, 10]-code), using
- adding a parity check bit [i] based on linear OA(231, 171, F2, 8) (dual of [171, 140, 9]-code), using
- a “Gra†code from Grassl’s database [i]
- adding a parity check bit [i] based on linear OA(231, 171, F2, 8) (dual of [171, 140, 9]-code), using
- OOA 2-folding [i] based on linear OA(232, 172, F2, 9) (dual of [172, 140, 10]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(232, 86, F2, 2, 9) (dual of [(86, 2), 140, 10]-NRT-code), using
- linear OOA(2207, 1677720, F2, 5, 18) (dual of [(1677720, 5), 8388393, 19]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2207, 8388600, F2, 18) (dual of [8388600, 8388393, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- OOA 5-folding [i] based on linear OA(2207, 8388600, F2, 18) (dual of [8388600, 8388393, 19]-code), using
- linear OOA(232, 86, F2, 5, 9) (dual of [(86, 5), 398, 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.