Information on Result #732764
Linear OA(2576, 15838, F25, 20) (dual of [15838, 15762, 21]-code), using (u, u+v)-construction based on
- linear OA(2518, 210, F25, 10) (dual of [210, 192, 11]-code), using
- construction X applied to C([8,17]) ⊂ C([9,17]) [i] based on
- linear OA(2518, 208, F25, 10) (dual of [208, 190, 11]-code), using the BCH-code C(I) with length 208 | 252−1, defining interval I = {8,9,…,17}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2516, 208, F25, 9) (dual of [208, 192, 10]-code), using the BCH-code C(I) with length 208 | 252−1, defining interval I = {9,10,…,17}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(250, 2, F25, 0) (dual of [2, 2, 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 C([8,17]) ⊂ C([9,17]) [i] based on
- linear OA(2558, 15628, F25, 20) (dual of [15628, 15570, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(2558, 15625, F25, 20) (dual of [15625, 15567, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2555, 15625, F25, 19) (dual of [15625, 15570, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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 (see above)
- construction X applied to Ce(19) ⊂ Ce(18) [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(2576, 7919, F25, 2, 20) (dual of [(7919, 2), 15762, 21]-NRT-code) | [i] | OOA Folding | |