Information on Result #730978
Linear OA(5106, 1258, F5, 28) (dual of [1258, 1152, 29]-code), using trace code based on linear OA(2553, 629, F25, 28) (dual of [629, 576, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(25) [i] based on
- linear OA(2552, 625, F25, 28) (dual of [625, 573, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(2549, 625, F25, 26) (dual of [625, 576, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(251, 4, F25, 1) (dual of [4, 3, 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
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 OA(5107, 1259, F5, 28) (dual of [1259, 1152, 29]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5106, 629, F5, 2, 28) (dual of [(629, 2), 1152, 29]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5106, 419, F5, 3, 28) (dual of [(419, 3), 1151, 29]-NRT-code) | [i] | ||