Information on Result #732772
Linear OA(2594, 390735, F25, 20) (dual of [390735, 390641, 21]-code), using (u, u+v)-construction based on
- linear OA(2517, 106, F25, 10) (dual of [106, 89, 11]-code), using
- construction X applied to C([8,17]) ⊂ C([9,17]) [i] based on
- linear OA(2517, 104, F25, 10) (dual of [104, 87, 11]-code), using the BCH-code C(I) with length 104 | 252−1, defining interval I = {8,9,…,17}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(2515, 104, F25, 9) (dual of [104, 89, 10]-code), using the BCH-code C(I) with length 104 | 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(2577, 390629, F25, 20) (dual of [390629, 390552, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(2577, 390625, F25, 20) (dual of [390625, 390548, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(2573, 390625, F25, 19) (dual of [390625, 390552, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 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(2594, 195367, F25, 2, 20) (dual of [(195367, 2), 390640, 21]-NRT-code) | [i] | OOA Folding | |