Information on Result #1717942
Digital (61, 76, 1438)-net over F4, using net defined by OOA based on linear OOA(476, 1438, F4, 21, 15) (dual of [(1438, 21), 30122, 16]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(476, 4315, F4, 3, 15) (dual of [(4315, 3), 12869, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(476, 4317, F4, 3, 15) (dual of [(4317, 3), 12875, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(476, 4317, F4, 15) (dual of [4317, 4241, 16]-code), using
- 206 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 6 times 0, 1, 13 times 0, 1, 27 times 0, 1, 53 times 0, 1, 98 times 0) [i] based on linear OA(467, 4102, F4, 15) (dual of [4102, 4035, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(467, 4096, F4, 15) (dual of [4096, 4029, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(461, 4096, F4, 14) (dual of [4096, 4035, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(40, 6, F4, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- 206 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 6 times 0, 1, 13 times 0, 1, 27 times 0, 1, 53 times 0, 1, 98 times 0) [i] based on linear OA(467, 4102, F4, 15) (dual of [4102, 4035, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(476, 4317, F4, 15) (dual of [4317, 4241, 16]-code), using
- discarding factors / shortening the dual code based on linear OOA(476, 4317, F4, 3, 15) (dual of [(4317, 3), 12875, 16]-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.