Information on Result #1726436
Digital (72, 96, 1330)-net over F7, using net defined by OOA based on linear OOA(796, 1330, F7, 27, 24) (dual of [(1330, 27), 35814, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(796, 5321, F7, 3, 24) (dual of [(5321, 3), 15867, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(796, 5322, F7, 3, 24) (dual of [(5322, 3), 15870, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(796, 5322, F7, 24) (dual of [5322, 5226, 25]-code), using
- 514 step Varšamov–Edel lengthening with (ri) = (1, 164 times 0, 1, 348 times 0) [i] based on linear OA(794, 4806, F7, 24) (dual of [4806, 4712, 25]-code), using
- trace code [i] based on linear OA(4947, 2403, F49, 24) (dual of [2403, 2356, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(4947, 2401, F49, 24) (dual of [2401, 2354, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(4945, 2401, F49, 23) (dual of [2401, 2356, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(23) ⊂ Ce(22) [i] based on
- trace code [i] based on linear OA(4947, 2403, F49, 24) (dual of [2403, 2356, 25]-code), using
- 514 step Varšamov–Edel lengthening with (ri) = (1, 164 times 0, 1, 348 times 0) [i] based on linear OA(794, 4806, F7, 24) (dual of [4806, 4712, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(796, 5322, F7, 24) (dual of [5322, 5226, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(796, 5322, F7, 3, 24) (dual of [(5322, 3), 15870, 25]-NRT-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.