Information on Result #1759435
Digital (212, 251, 2032)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2251, 2032, F2, 4, 39) (dual of [(2032, 4), 7877, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2251, 2052, F2, 4, 39) (dual of [(2052, 4), 7957, 40]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2251, 8208, F2, 39) (dual of [8208, 7957, 40]-code), using
- 2 times code embedding in larger space [i] based on linear OA(2249, 8206, F2, 39) (dual of [8206, 7957, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(36) [i] based on
- linear OA(2248, 8192, F2, 39) (dual of [8192, 7944, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2235, 8192, F2, 37) (dual of [8192, 7957, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(21, 14, F2, 1) (dual of [14, 13, 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(38) ⊂ Ce(36) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(2249, 8206, F2, 39) (dual of [8206, 7957, 40]-code), using
- OOA 4-folding [i] based on linear OA(2251, 8208, F2, 39) (dual of [8208, 7957, 40]-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.