Information on Result #684012
Linear OA(5124, 131, F5, 98) (dual of [131, 7, 99]-code), using construction X applied to Ce(98) ⊂ Ce(93) based on
- linear OA(5121, 125, F5, 99) (dual of [125, 4, 100]-code), using an extension Ce(98) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,98], and designed minimum distance d ≥ |I|+1 = 99 [i]
- linear OA(5118, 125, F5, 94) (dual of [125, 7, 95]-code), using an extension Ce(93) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,93], and designed minimum distance d ≥ |I|+1 = 94 [i]
- linear OA(53, 6, F5, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,5) or 6-cap in PG(2,5)), using
- extended Reed–Solomon code RSe(3,5) [i]
- oval in PG(2, 5) [i]
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(5123, 130, F5, 97) (dual of [130, 7, 98]-code) | [i] | Truncation | |
| 2 | Linear OA(5121, 128, F5, 95) (dual of [128, 7, 96]-code) | [i] | ||
| 3 | Linear OOA(5124, 65, F5, 2, 98) (dual of [(65, 2), 6, 99]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(5124, 43, F5, 3, 98) (dual of [(43, 3), 5, 99]-NRT-code) | [i] | ||