Information on Result #3324121
Digital (213, 235, 299596)-net over F2, using 23 times duplication based on digital (210, 232, 299596)-net over F2, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2232, 299596, F2, 7, 22) (dual of [(299596, 7), 2096940, 23]-NRT-code), using
- OOA 7-folding [i] based on linear OA(2232, 2097172, F2, 22) (dual of [2097172, 2096940, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(2232, 2097173, F2, 22) (dual of [2097173, 2096941, 23]-code), using
- 1 times truncation [i] based on linear OA(2233, 2097174, F2, 23) (dual of [2097174, 2096941, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(20) [i] based on
- linear OA(2232, 2097152, F2, 23) (dual of [2097152, 2096920, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(2211, 2097152, F2, 21) (dual of [2097152, 2096941, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(21, 22, F2, 1) (dual of [22, 21, 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(22) ⊂ Ce(20) [i] based on
- 1 times truncation [i] based on linear OA(2233, 2097174, F2, 23) (dual of [2097174, 2096941, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(2232, 2097173, F2, 22) (dual of [2097173, 2096941, 23]-code), using
- OOA 7-folding [i] based on linear OA(2232, 2097172, F2, 22) (dual of [2097172, 2096940, 23]-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.