Information on Result #1726354
Digital (68, 91, 1227)-net over F7, using net defined by OOA based on linear OOA(791, 1227, F7, 27, 23) (dual of [(1227, 27), 33038, 24]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(791, 4909, F7, 3, 23) (dual of [(4909, 3), 14636, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(791, 4912, F7, 3, 23) (dual of [(4912, 3), 14645, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(791, 4912, F7, 23) (dual of [4912, 4821, 24]-code), using
- 105 step Varšamov–Edel lengthening with (ri) = (1, 104 times 0) [i] based on linear OA(790, 4806, F7, 23) (dual of [4806, 4716, 24]-code), using
- trace code [i] based on linear OA(4945, 2403, F49, 23) (dual of [2403, 2358, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- 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(4943, 2401, F49, 22) (dual of [2401, 2358, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(22) ⊂ Ce(21) [i] based on
- trace code [i] based on linear OA(4945, 2403, F49, 23) (dual of [2403, 2358, 24]-code), using
- 105 step Varšamov–Edel lengthening with (ri) = (1, 104 times 0) [i] based on linear OA(790, 4806, F7, 23) (dual of [4806, 4716, 24]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(791, 4912, F7, 23) (dual of [4912, 4821, 24]-code), using
- discarding factors / shortening the dual code based on linear OOA(791, 4912, F7, 3, 23) (dual of [(4912, 3), 14645, 24]-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.