Information on Result #1484912
Linear OOA(567, 7827, F5, 3, 13) (dual of [(7827, 3), 23414, 14]-NRT-code), using OOA 2-folding based on linear OOA(567, 15654, F5, 2, 13) (dual of [(15654, 2), 31241, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(567, 15655, F5, 2, 13) (dual of [(15655, 2), 31243, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(567, 15655, F5, 13) (dual of [15655, 15588, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
- linear OA(561, 15625, F5, 13) (dual of [15625, 15564, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(537, 15625, F5, 8) (dual of [15625, 15588, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(56, 30, F5, 4) (dual of [30, 24, 5]-code), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(567, 15655, F5, 13) (dual of [15655, 15588, 14]-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.