Information on Result #683481
Linear OA(588, 632, F5, 28) (dual of [632, 544, 29]-code), using construction X applied to Ce(27) ⊂ Ce(25) based on
- linear OA(587, 625, F5, 28) (dual of [625, 538, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(581, 625, F5, 26) (dual of [625, 544, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(51, 7, F5, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 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 OOA(588, 559, F5, 2, 28) (dual of [(559, 2), 1030, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(588, 559, F5, 3, 28) (dual of [(559, 3), 1589, 29]-NRT-code) | [i] | ||
| 3 | Digital (60, 88, 559)-net over F5 | [i] | ||
| 4 | Linear OOA(588, 316, F5, 2, 28) (dual of [(316, 2), 544, 29]-NRT-code) | [i] | OOA Folding | |