Information on Result #732889
Linear OA(2552, 15709, F25, 14) (dual of [15709, 15657, 15]-code), using (u, u+v)-construction based on
- linear OA(2512, 81, F25, 7) (dual of [81, 69, 8]-code), using
- construction X applied to C([10,16]) ⊂ C([12,16]) [i] based on
- linear OA(2511, 78, F25, 7) (dual of [78, 67, 8]-code), using the BCH-code C(I) with length 78 | 252−1, defining interval I = {10,11,…,16}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(259, 78, F25, 5) (dual of [78, 69, 6]-code), using the BCH-code C(I) with length 78 | 252−1, defining interval I = {12,13,14,15,16}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(251, 3, F25, 1) (dual of [3, 2, 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 C([10,16]) ⊂ C([12,16]) [i] based on
- linear OA(2540, 15628, F25, 14) (dual of [15628, 15588, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [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(2537, 15625, F25, 13) (dual of [15625, 15588, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2552, 2244, F25, 14, 14) (dual of [(2244, 14), 31364, 15]-NRT-code) | [i] | OA Folding and Stacking | |