Information on Result #1759349
Digital (222, 250, 21853)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2250, 21853, F2, 6, 28) (dual of [(21853, 6), 130868, 29]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2250, 131118, F2, 28) (dual of [131118, 130868, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(2250, 131119, F2, 28) (dual of [131119, 130869, 29]-code), using
- 1 times truncation [i] based on linear OA(2251, 131120, F2, 29) (dual of [131120, 130869, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- linear OA(2239, 131072, F2, 29) (dual of [131072, 130833, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2188, 131072, F2, 23) (dual of [131072, 130884, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(212, 48, F2, 5) (dual of [48, 36, 6]-code), using
- adding a parity check bit [i] based on linear OA(211, 47, F2, 4) (dual of [47, 36, 5]-code), using
- extracting embedded orthogonal array [i] based on digital (7, 11, 47)-net over F2, using
- adding a parity check bit [i] based on linear OA(211, 47, F2, 4) (dual of [47, 36, 5]-code), using
- construction X applied to Ce(28) ⊂ Ce(22) [i] based on
- 1 times truncation [i] based on linear OA(2251, 131120, F2, 29) (dual of [131120, 130869, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(2250, 131119, F2, 28) (dual of [131119, 130869, 29]-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.