Information on Result #1722452
Digital (54, 68, 3518)-net over F5, using net defined by OOA based on linear OOA(568, 3518, F5, 21, 14) (dual of [(3518, 21), 73810, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(568, 10555, F5, 3, 14) (dual of [(10555, 3), 31597, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(568, 10557, F5, 3, 14) (dual of [(10557, 3), 31603, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(568, 10557, F5, 14) (dual of [10557, 10489, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(568, 15638, F5, 14) (dual of [15638, 15570, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(567, 15625, F5, 14) (dual of [15625, 15558, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(555, 15625, F5, 12) (dual of [15625, 15570, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(51, 13, F5, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 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(568, 15638, F5, 14) (dual of [15638, 15570, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(568, 10557, F5, 14) (dual of [10557, 10489, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(568, 10557, F5, 3, 14) (dual of [(10557, 3), 31603, 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.