Information on Result #1190414
Digital (72, 85, 137264)-net over F7, using net defined by OOA based on linear OOA(785, 137264, F7, 13, 13) (dual of [(137264, 13), 1784347, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(785, 823585, F7, 13) (dual of [823585, 823500, 14]-code), using
- 1 times code embedding in larger space [i] based on linear OA(784, 823584, F7, 13) (dual of [823584, 823500, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
- linear OA(778, 823543, F7, 13) (dual of [823543, 823465, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(743, 823543, F7, 8) (dual of [823543, 823500, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(76, 41, F7, 4) (dual of [41, 35, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(784, 823584, F7, 13) (dual of [823584, 823500, 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.