Information on Result #682982
Linear OA(531, 3130, F5, 8) (dual of [3130, 3099, 9]-code), using construction X applied to Ce(7) ⊂ Ce(6) based on
- linear OA(531, 3125, F5, 8) (dual of [3125, 3094, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(526, 3125, F5, 7) (dual of [3125, 3099, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(50, 5, F5, 0) (dual of [5, 5, 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(534, 3161, F5, 8) (dual of [3161, 3127, 9]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(535, 3266, F5, 8) (dual of [3266, 3231, 9]-code) | [i] | ||
| 3 | Linear OOA(531, 1565, F5, 2, 8) (dual of [(1565, 2), 3099, 9]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(531, 1043, F5, 3, 8) (dual of [(1043, 3), 3098, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(531, 782, F5, 8, 8) (dual of [(782, 8), 6225, 9]-NRT-code) | [i] | OA Folding and Stacking | |