Information on Result #1760011
Digital (223, 257, 5744)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2257, 5744, F2, 5, 34) (dual of [(5744, 5), 28463, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2257, 6556, F2, 5, 34) (dual of [(6556, 5), 32523, 35]-NRT-code), using
- strength reduction [i] based on linear OOA(2257, 6556, F2, 5, 35) (dual of [(6556, 5), 32523, 36]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2257, 32780, F2, 35) (dual of [32780, 32523, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(2257, 32784, F2, 35) (dual of [32784, 32527, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(32) [i] based on
- linear OA(2256, 32768, F2, 35) (dual of [32768, 32512, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2241, 32768, F2, 33) (dual of [32768, 32527, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(21, 16, F2, 1) (dual of [16, 15, 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(34) ⊂ Ce(32) [i] based on
- discarding factors / shortening the dual code based on linear OA(2257, 32784, F2, 35) (dual of [32784, 32527, 36]-code), using
- OOA 5-folding [i] based on linear OA(2257, 32780, F2, 35) (dual of [32780, 32523, 36]-code), using
- strength reduction [i] based on linear OOA(2257, 6556, F2, 5, 35) (dual of [(6556, 5), 32523, 36]-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.