Information on Result #1190046
Digital (43, 53, 23534)-net over F7, using net defined by OOA based on linear OOA(753, 23534, F7, 10, 10) (dual of [(23534, 10), 235287, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(753, 117670, F7, 10) (dual of [117670, 117617, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(753, 117671, F7, 10) (dual of [117671, 117618, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(5) [i] based on
- linear OA(749, 117649, F7, 10) (dual of [117649, 117600, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(731, 117649, F7, 6) (dual of [117649, 117618, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(74, 22, F7, 3) (dual of [22, 18, 4]-code or 22-cap in PG(3,7)), using
- construction X applied to Ce(9) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(753, 117671, F7, 10) (dual of [117671, 117618, 11]-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.