Information on Result #1745580
Digital (14, 28, 1093)-net over F81, using net defined by OOA based on linear OOA(8128, 1093, F81, 20, 14) (dual of [(1093, 20), 21832, 15]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(8128, 2187, F81, 4, 14) (dual of [(2187, 4), 8720, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8128, 2188, F81, 4, 14) (dual of [(2188, 4), 8724, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8128, 2188, F81, 3, 14) (dual of [(2188, 3), 6536, 15]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8128, 6564, F81, 14) (dual of [6564, 6536, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(8128, 6566, F81, 14) (dual of [6566, 6538, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(8127, 6561, F81, 14) (dual of [6561, 6534, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(8123, 6561, F81, 12) (dual of [6561, 6538, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- discarding factors / shortening the dual code based on linear OA(8128, 6566, F81, 14) (dual of [6566, 6538, 15]-code), using
- OOA 3-folding [i] based on linear OA(8128, 6564, F81, 14) (dual of [6564, 6536, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(8128, 2188, F81, 3, 14) (dual of [(2188, 3), 6536, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8128, 2188, F81, 4, 14) (dual of [(2188, 4), 8724, 15]-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.