Information on Result #899418
Linear OOA(2534, 7842, F25, 2, 10) (dual of [(7842, 2), 15650, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(255, 26, F25, 2, 5) (dual of [(26, 2), 47, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;47,25) [i]
- linear OOA(2529, 7816, F25, 2, 10) (dual of [(7816, 2), 15603, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2529, 15632, F25, 10) (dual of [15632, 15603, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(7) [i] based on
- linear OA(2528, 15625, F25, 10) (dual of [15625, 15597, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(2522, 15625, F25, 8) (dual of [15625, 15603, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(9) ⊂ Ce(7) [i] based on
- OOA 2-folding [i] based on linear OA(2529, 15632, F25, 10) (dual of [15632, 15603, 11]-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.