Information on Result #3260455
Digital (118, 144, 6010)-net over F5, using 52 times duplication based on digital (116, 142, 6010)-net over F5, using
- net defined by OOA [i] based on linear OOA(5142, 6010, F5, 26, 26) (dual of [(6010, 26), 156118, 27]-NRT-code), using
- OA 13-folding and stacking [i] based on linear OA(5142, 78130, F5, 26) (dual of [78130, 77988, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(5142, 78133, F5, 26) (dual of [78133, 77991, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(23) [i] based on
- linear OA(5141, 78125, F5, 26) (dual of [78125, 77984, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(5134, 78125, F5, 24) (dual of [78125, 77991, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(51, 8, F5, 1) (dual of [8, 7, 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(25) ⊂ Ce(23) [i] based on
- discarding factors / shortening the dual code based on linear OA(5142, 78133, F5, 26) (dual of [78133, 77991, 27]-code), using
- OA 13-folding and stacking [i] based on linear OA(5142, 78130, F5, 26) (dual of [78130, 77988, 27]-code), using
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.