Information on Result #1190392
Digital (58, 71, 19612)-net over F7, using net defined by OOA based on linear OOA(771, 19612, F7, 13, 13) (dual of [(19612, 13), 254885, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(771, 117673, F7, 13) (dual of [117673, 117602, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(771, 117677, F7, 13) (dual of [117677, 117606, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(767, 117649, F7, 13) (dual of [117649, 117582, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(743, 117649, F7, 9) (dual of [117649, 117606, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(74, 28, F7, 3) (dual of [28, 24, 4]-code or 28-cap in PG(3,7)), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(771, 117677, F7, 13) (dual of [117677, 117606, 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.