Information on Result #1750837
Digital (101, 121, 1106)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2121, 1106, F2, 3, 20) (dual of [(1106, 3), 3197, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2121, 1369, F2, 3, 20) (dual of [(1369, 3), 3986, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2121, 4107, F2, 20) (dual of [4107, 3986, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2121, 4108, F2, 20) (dual of [4108, 3987, 21]-code), using
- 1 times truncation [i] based on linear OA(2122, 4109, F2, 21) (dual of [4109, 3987, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(18) [i] based on
- linear OA(2121, 4096, F2, 21) (dual of [4096, 3975, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2109, 4096, F2, 19) (dual of [4096, 3987, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(20) ⊂ Ce(18) [i] based on
- 1 times truncation [i] based on linear OA(2122, 4109, F2, 21) (dual of [4109, 3987, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2121, 4108, F2, 20) (dual of [4108, 3987, 21]-code), using
- OOA 3-folding [i] based on linear OA(2121, 4107, F2, 20) (dual of [4107, 3986, 21]-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.