Information on Result #1814936
Digital (32, 64, 12055)-net over F256, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25664, 12055, F256, 5, 32) (dual of [(12055, 5), 60211, 33]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25664, 13108, F256, 5, 32) (dual of [(13108, 5), 65476, 33]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25664, 65540, F256, 32) (dual of [65540, 65476, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(25664, 65541, F256, 32) (dual of [65541, 65477, 33]-code), using
- construction X applied to Ce(31) ⊂ Ce(29) [i] based on
- linear OA(25663, 65536, F256, 32) (dual of [65536, 65473, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(25659, 65536, F256, 30) (dual of [65536, 65477, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2561, 5, F256, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, s, F256, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(31) ⊂ Ce(29) [i] based on
- discarding factors / shortening the dual code based on linear OA(25664, 65541, F256, 32) (dual of [65541, 65477, 33]-code), using
- OOA 5-folding [i] based on linear OA(25664, 65540, F256, 32) (dual of [65540, 65476, 33]-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.