Information on Result #682264
Linear OA(557, 390633, F5, 9) (dual of [390633, 390576, 10]-code), using construction X applied to Ce(8) ⊂ Ce(7) based on
- linear OA(557, 390625, F5, 9) (dual of [390625, 390568, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(549, 390625, F5, 8) (dual of [390625, 390576, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(50, 8, F5, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-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(563, 390663, F5, 9) (dual of [390663, 390600, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(557, 195316, F5, 2, 9) (dual of [(195316, 2), 390575, 10]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(557, 130211, F5, 3, 9) (dual of [(130211, 3), 390576, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(557, 97658, F5, 9, 9) (dual of [(97658, 9), 878865, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |