Information on Result #1188236
Digital (37, 44, 130216)-net over F5, using net defined by OOA based on linear OOA(544, 130216, F5, 9, 7) (dual of [(130216, 9), 1171900, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(544, 130217, F5, 3, 7) (dual of [(130217, 3), 390607, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(53, 6, F5, 3, 3) (dual of [(6, 3), 15, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;15,5) [i]
- linear OOA(541, 130211, F5, 3, 7) (dual of [(130211, 3), 390592, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(541, 390633, F5, 7) (dual of [390633, 390592, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(541, 390625, F5, 7) (dual of [390625, 390584, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(533, 390625, F5, 6) (dual of [390625, 390592, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(6) ⊂ Ce(5) [i] based on
- OOA 3-folding [i] based on linear OA(541, 390633, F5, 7) (dual of [390633, 390592, 8]-code), using
- linear OOA(53, 6, F5, 3, 3) (dual of [(6, 3), 15, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and 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.