Information on Result #1723062
Digital (93, 111, 26059)-net over F5, using net defined by OOA based on linear OOA(5111, 26059, F5, 21, 18) (dual of [(26059, 21), 547128, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(5111, 78178, F5, 3, 18) (dual of [(78178, 3), 234423, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5111, 78179, F5, 3, 18) (dual of [(78179, 3), 234426, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5111, 78179, F5, 18) (dual of [78179, 78068, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(10) [i] based on
- linear OA(599, 78125, F5, 18) (dual of [78125, 78026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(557, 78125, F5, 11) (dual of [78125, 78068, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(512, 54, F5, 6) (dual of [54, 42, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(512, 62, F5, 6) (dual of [62, 50, 7]-code), using
- the cyclic code C(A) with length 62 | 53−1, defining set A = {4,8,11,17}, and minimum distance d ≥ |{8,11,14,…,23}|+1 = 7 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(512, 62, F5, 6) (dual of [62, 50, 7]-code), using
- construction X applied to Ce(17) ⊂ Ce(10) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5111, 78179, F5, 18) (dual of [78179, 78068, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(5111, 78179, F5, 3, 18) (dual of [(78179, 3), 234426, 19]-NRT-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.