Information on Result #1723652
Digital (126, 148, 71218)-net over F5, using net defined by OOA based on linear OOA(5148, 71218, F5, 27, 22) (dual of [(71218, 27), 1922738, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5148, 284873, F5, 3, 22) (dual of [(284873, 3), 854471, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5148, 284875, F5, 3, 22) (dual of [(284875, 3), 854477, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5148, 284875, F5, 22) (dual of [284875, 284727, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(5148, 390637, F5, 22) (dual of [390637, 390489, 23]-code), using
- (u, u+v)-construction [i] based on
- linear OA(511, 12, F5, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,5)), using
- dual of repetition code with length 12 [i]
- linear OA(5137, 390625, F5, 22) (dual of [390625, 390488, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(511, 12, F5, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,5)), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(5148, 390637, F5, 22) (dual of [390637, 390489, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5148, 284875, F5, 22) (dual of [284875, 284727, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(5148, 284875, F5, 3, 22) (dual of [(284875, 3), 854477, 23]-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.