Information on Result #1179484
Digital (13, 17, 8409)-net over F7, using net defined by OOA based on linear OOA(717, 8409, F7, 4, 4) (dual of [(8409, 4), 33619, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(717, 8409, F7, 3, 4) (dual of [(8409, 3), 25210, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(717, 16818, F7, 4) (dual of [16818, 16801, 5]-code), using
- construction X applied to Ce(3) ⊂ Ce(1) [i] based on
- linear OA(716, 16807, F7, 4) (dual of [16807, 16791, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(76, 16807, F7, 2) (dual of [16807, 16801, 3]-code), using an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
- linear OA(71, 11, F7, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(3) ⊂ Ce(1) [i] based on
- OA 2-folding and stacking [i] based on linear OA(717, 16818, F7, 4) (dual of [16818, 16801, 5]-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.