Information on Result #1721942
Digital (54, 63, 195331)-net over F5, using net defined by OOA based on linear OOA(563, 195331, F5, 10, 9) (dual of [(195331, 10), 1953247, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(563, 390663, F5, 2, 9) (dual of [(390663, 2), 781263, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(563, 390663, F5, 9) (dual of [390663, 390600, 10]-code), using
- (u, u+v)-construction [i] based on
- linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- linear OA(557, 390633, F5, 9) (dual of [390633, 390576, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(557, 390625, F5, 9) (dual of [390625, 390568, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(549, 390625, F5, 8) (dual of [390625, 390576, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(8) ⊂ Ce(7) [i] based on
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(563, 390663, F5, 9) (dual of [390663, 390600, 10]-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.