Information on Result #737697
Linear OA(590, 650, F5, 27) (dual of [650, 560, 28]-code), using construction X applied to Ce(26) ⊂ Ce(20) based on
- linear OA(583, 625, F5, 27) (dual of [625, 542, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(565, 625, F5, 21) (dual of [625, 560, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(57, 25, F5, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 28, F5, 5) (dual of [28, 21, 6]-code), 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(591, 651, F5, 27) (dual of [651, 560, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(590, 325, F5, 2, 27) (dual of [(325, 2), 560, 28]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(590, 216, F5, 3, 27) (dual of [(216, 3), 558, 28]-NRT-code) | [i] | ||