Information on Result #684114
Linear OA(515, 131, F5, 6) (dual of [131, 116, 7]-code), using construction X applied to Ce(5) ⊂ Ce(2) based on
- linear OA(513, 125, F5, 6) (dual of [125, 112, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(57, 125, F5, 3) (dual of [125, 118, 4]-code or 125-cap in PG(6,5)), using an extension Ce(2) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,2], and designed minimum distance d ≥ |I|+1 = 3 [i]
- linear OA(52, 6, F5, 2) (dual of [6, 4, 3]-code or 6-arc in PG(1,5)), using
- extended Reed–Solomon code RSe(4,5) [i]
- Hamming code H(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 OOA(515, 65, F5, 2, 6) (dual of [(65, 2), 115, 7]-NRT-code) | [i] | OOA Folding | |