Information on Result #1190284
Digital (53, 65, 19612)-net over F7, using net defined by OOA based on linear OOA(765, 19612, F7, 12, 12) (dual of [(19612, 12), 235279, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(765, 117672, F7, 12) (dual of [117672, 117607, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(765, 117677, F7, 12) (dual of [117677, 117612, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(7) [i] based on
- linear OA(761, 117649, F7, 12) (dual of [117649, 117588, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(737, 117649, F7, 8) (dual of [117649, 117612, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(11) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(765, 117677, F7, 12) (dual of [117677, 117612, 13]-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.