Information on Result #730981
Linear OA(5110, 1260, F5, 29) (dual of [1260, 1150, 30]-code), using trace code based on linear OA(2555, 630, F25, 29) (dual of [630, 575, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(26) [i] based on
- linear OA(2554, 625, F25, 29) (dual of [625, 571, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2550, 625, F25, 27) (dual of [625, 575, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(251, 5, F25, 1) (dual of [5, 4, 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(5111, 1261, F5, 29) (dual of [1261, 1150, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(5110, 630, F5, 2, 29) (dual of [(630, 2), 1150, 30]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(5110, 420, F5, 3, 29) (dual of [(420, 3), 1150, 30]-NRT-code) | [i] | ||