Information on Result #1723170
Digital (73, 92, 3294)-net over F5, using net defined by OOA based on linear OOA(592, 3294, F5, 21, 19) (dual of [(3294, 21), 69082, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(592, 9883, F5, 3, 19) (dual of [(9883, 3), 29557, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(592, 9884, F5, 3, 19) (dual of [(9884, 3), 29560, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(592, 9884, F5, 19) (dual of [9884, 9792, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(592, 15638, F5, 19) (dual of [15638, 15546, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- linear OA(591, 15625, F5, 19) (dual of [15625, 15534, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(579, 15625, F5, 17) (dual of [15625, 15546, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(51, 13, F5, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(592, 15638, F5, 19) (dual of [15638, 15546, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(592, 9884, F5, 19) (dual of [9884, 9792, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(592, 9884, F5, 3, 19) (dual of [(9884, 3), 29560, 20]-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.