Information on Result #1723636
Digital (115, 137, 45859)-net over F5, using net defined by OOA based on linear OOA(5137, 45859, F5, 27, 22) (dual of [(45859, 27), 1238056, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5137, 183437, F5, 3, 22) (dual of [(183437, 3), 550174, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5137, 183438, F5, 3, 22) (dual of [(183438, 3), 550177, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5137, 183438, F5, 2, 22) (dual of [(183438, 2), 366739, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5137, 195316, F5, 2, 22) (dual of [(195316, 2), 390495, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5137, 390632, F5, 22) (dual of [390632, 390495, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(5137, 390633, F5, 22) (dual of [390633, 390496, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- 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(5129, 390625, F5, 21) (dual of [390625, 390496, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(50, 8, F5, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(5137, 390633, F5, 22) (dual of [390633, 390496, 23]-code), using
- OOA 2-folding [i] based on linear OA(5137, 390632, F5, 22) (dual of [390632, 390495, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(5137, 195316, F5, 2, 22) (dual of [(195316, 2), 390495, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(5137, 183438, F5, 2, 22) (dual of [(183438, 2), 366739, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5137, 183438, F5, 3, 22) (dual of [(183438, 3), 550177, 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.