Information on Result #1725270
Digital (38, 51, 2406)-net over F7, using net defined by OOA based on linear OOA(751, 2406, F7, 15, 13) (dual of [(2406, 15), 36039, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(751, 4813, F7, 3, 13) (dual of [(4813, 3), 14388, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(751, 4813, F7, 13) (dual of [4813, 4762, 14]-code), using
- 6 step Varšamov–Edel lengthening with (ri) = (1, 5 times 0) [i] based on linear OA(750, 4806, F7, 13) (dual of [4806, 4756, 14]-code), using
- trace code [i] based on linear OA(4925, 2403, F49, 13) (dual of [2403, 2378, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(4925, 2401, F49, 13) (dual of [2401, 2376, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(4923, 2401, F49, 12) (dual of [2401, 2378, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- trace code [i] based on linear OA(4925, 2403, F49, 13) (dual of [2403, 2378, 14]-code), using
- 6 step Varšamov–Edel lengthening with (ri) = (1, 5 times 0) [i] based on linear OA(750, 4806, F7, 13) (dual of [4806, 4756, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(751, 4813, F7, 13) (dual of [4813, 4762, 14]-code), using
Mode: 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.