Information on Result #1188334
Digital (45, 53, 97662)-net over F5, using net defined by OOA based on linear OOA(553, 97662, F5, 8, 8) (dual of [(97662, 8), 781243, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(553, 390648, F5, 8) (dual of [390648, 390595, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(553, 390651, F5, 8) (dual of [390651, 390598, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(3) [i] based on
- 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(525, 390625, F5, 4) (dual of [390625, 390600, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), using
- construction X applied to Ce(7) ⊂ Ce(3) [i] based on
- discarding factors / shortening the dual code based on linear OA(553, 390651, F5, 8) (dual of [390651, 390598, 9]-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.