Information on Result #1751904
Digital (121, 145, 1111)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2145, 1111, F2, 3, 24) (dual of [(1111, 3), 3188, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2145, 1369, F2, 3, 24) (dual of [(1369, 3), 3962, 25]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2145, 4107, F2, 24) (dual of [4107, 3962, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(2145, 4108, F2, 24) (dual of [4108, 3963, 25]-code), using
- 1 times truncation [i] based on linear OA(2146, 4109, F2, 25) (dual of [4109, 3963, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(22) [i] based on
- linear OA(2145, 4096, F2, 25) (dual of [4096, 3951, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(2133, 4096, F2, 23) (dual of [4096, 3963, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(21, 13, F2, 1) (dual of [13, 12, 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(24) ⊂ Ce(22) [i] based on
- 1 times truncation [i] based on linear OA(2146, 4109, F2, 25) (dual of [4109, 3963, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2145, 4108, F2, 24) (dual of [4108, 3963, 25]-code), using
- OOA 3-folding [i] based on linear OA(2145, 4107, F2, 24) (dual of [4107, 3962, 25]-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.