Information on Result #1772475
Digital (14, 23, 84)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(423, 84, F4, 9) (dual of [84, 61, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(423, 90, F4, 9) (dual of [90, 67, 10]-code), using
- construction X applied to C({2,5,6,14,17,21}) ⊂ C({2,5,6,14,17}) [i] based on
- linear OA(422, 85, F4, 9) (dual of [85, 63, 10]-code), using the cyclic code C(A) with length 85 | 44−1, defining set A = {2,5,6,14,17,21}, and minimum distance d ≥ |{−4,−1,2,…,20}|+1 = 10 (BCH-bound) [i]
- linear OA(418, 85, F4, 7) (dual of [85, 67, 8]-code), using the cyclic code C(A) with length 85 | 44−1, defining set A = {2,5,6,14,17}, and minimum distance d ≥ |{2,5,8,…,20}|+1 = 8 (BCH-bound) [i]
- linear OA(41, 5, F4, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C({2,5,6,14,17,21}) ⊂ C({2,5,6,14,17}) [i] based on
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.