Information on Result #1188800
Digital (74, 87, 65109)-net over F5, using net defined by OOA based on linear OOA(587, 65109, F5, 13, 13) (dual of [(65109, 13), 846330, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(587, 390655, F5, 13) (dual of [390655, 390568, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(587, 390656, F5, 13) (dual of [390656, 390569, 14]-code), using
- construction XX applied to Ce(12) ⊂ Ce(8) ⊂ Ce(7) [i] based on
- linear OA(581, 390625, F5, 13) (dual of [390625, 390544, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- 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(55, 30, F5, 3) (dual of [30, 25, 4]-code or 30-cap in PG(4,5)), using
- discarding factors / shortening the dual code based on linear OA(55, 42, F5, 3) (dual of [42, 37, 4]-code or 42-cap in PG(4,5)), using
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(12) ⊂ Ce(8) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(587, 390656, F5, 13) (dual of [390656, 390569, 14]-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.