Information on Result #1733858
Digital (18, 26, 3360)-net over F16, using net defined by OOA based on linear OOA(1626, 3360, F16, 10, 8) (dual of [(3360, 10), 33574, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(1626, 6721, F16, 2, 8) (dual of [(6721, 2), 13416, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1626, 6722, F16, 2, 8) (dual of [(6722, 2), 13418, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1626, 6722, F16, 8) (dual of [6722, 6696, 9]-code), using
- 2619 step Varšamov–Edel lengthening with (ri) = (1, 0, 0, 0, 1, 61 times 0, 1, 611 times 0, 1, 1940 times 0) [i] based on linear OA(1622, 4099, F16, 8) (dual of [4099, 4077, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(1622, 4096, F16, 8) (dual of [4096, 4074, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(1619, 4096, F16, 7) (dual of [4096, 4077, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(160, 3, F16, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- 2619 step Varšamov–Edel lengthening with (ri) = (1, 0, 0, 0, 1, 61 times 0, 1, 611 times 0, 1, 1940 times 0) [i] based on linear OA(1622, 4099, F16, 8) (dual of [4099, 4077, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1626, 6722, F16, 8) (dual of [6722, 6696, 9]-code), using
- discarding factors / shortening the dual code based on linear OOA(1626, 6722, F16, 2, 8) (dual of [(6722, 2), 13418, 9]-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.