Information on Result #1190892
Digital (60, 82, 221)-net over F7, using net defined by OOA based on linear OOA(782, 221, F7, 22, 22) (dual of [(221, 22), 4780, 23]-NRT-code), using
- OA 11-folding and stacking [i] based on linear OA(782, 2431, F7, 22) (dual of [2431, 2349, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(782, 2432, F7, 22) (dual of [2432, 2350, 23]-code), using
- construction XX applied to Ce(21) ⊂ Ce(15) ⊂ Ce(14) [i] based on
- linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(753, 2401, F7, 16) (dual of [2401, 2348, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(749, 2401, F7, 15) (dual of [2401, 2352, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(77, 29, F7, 5) (dual of [29, 22, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- linear OA(70, 2, F7, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction XX applied to Ce(21) ⊂ Ce(15) ⊂ Ce(14) [i] based on
- discarding factors / shortening the dual code based on linear OA(782, 2432, F7, 22) (dual of [2432, 2350, 23]-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.