Information on Result #1190474
Digital (53, 67, 2405)-net over F7, using net defined by OOA based on linear OOA(767, 2405, F7, 14, 14) (dual of [(2405, 14), 33603, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(767, 16835, F7, 14) (dual of [16835, 16768, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(767, 16838, F7, 14) (dual of [16838, 16771, 15]-code), using
- 1 times truncation [i] based on linear OA(768, 16839, F7, 15) (dual of [16839, 16771, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(8) [i] based on
- linear OA(761, 16807, F7, 15) (dual of [16807, 16746, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(736, 16807, F7, 9) (dual of [16807, 16771, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(77, 32, F7, 5) (dual of [32, 25, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- construction X applied to Ce(14) ⊂ Ce(8) [i] based on
- 1 times truncation [i] based on linear OA(768, 16839, F7, 15) (dual of [16839, 16771, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(767, 16838, F7, 14) (dual of [16838, 16771, 15]-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.