Information on Result #683499
Linear OA(526, 634, F5, 8) (dual of [634, 608, 9]-code), using construction X applied to Ce(7) ⊂ Ce(5) based on
- linear OA(525, 625, F5, 8) (dual of [625, 600, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(517, 625, F5, 6) (dual of [625, 608, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(51, 9, F5, 1) (dual of [9, 8, 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(526, 608, F5, 2, 8) (dual of [(608, 2), 1190, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(526, 608, F5, 3, 8) (dual of [(608, 3), 1798, 9]-NRT-code) | [i] | ||
| 3 | Digital (18, 26, 608)-net over F5 | [i] | ||
| 4 | Linear OOA(526, 317, F5, 2, 8) (dual of [(317, 2), 608, 9]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(526, 211, F5, 3, 8) (dual of [(211, 3), 607, 9]-NRT-code) | [i] | ||