Information on Result #899563
Linear OOA(2548, 7842, F25, 2, 14) (dual of [(7842, 2), 15636, 15]-NRT-code), using (u, u+v)-construction based on
- linear OOA(257, 26, F25, 2, 7) (dual of [(26, 2), 45, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;45,25) [i]
- linear OOA(2541, 7816, F25, 2, 14) (dual of [(7816, 2), 15591, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2541, 15632, F25, 14) (dual of [15632, 15591, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(2540, 15625, F25, 14) (dual of [15625, 15585, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2534, 15625, F25, 12) (dual of [15625, 15591, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- OOA 2-folding [i] based on linear OA(2541, 15632, F25, 14) (dual of [15632, 15591, 15]-code), using
Mode: Constructive and 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.