Information on Result #1484962
Linear OOA(568, 5278, F5, 3, 14) (dual of [(5278, 3), 15766, 15]-NRT-code), using OOA 2-folding based on linear OOA(568, 10556, F5, 2, 14) (dual of [(10556, 2), 21044, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(568, 10557, F5, 2, 14) (dual of [(10557, 2), 21046, 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
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.