Information on Result #684014
Linear OA(5114, 131, F5, 73) (dual of [131, 17, 74]-code), using construction X applied to Ce(72) ⊂ Ce(68) based on
- linear OA(5111, 125, F5, 73) (dual of [125, 14, 74]-code), using an extension Ce(72) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,72], and designed minimum distance d ≥ |I|+1 = 73 [i]
- linear OA(5108, 125, F5, 69) (dual of [125, 17, 70]-code), using an extension Ce(68) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,68], and designed minimum distance d ≥ |I|+1 = 69 [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(5115, 132, F5, 73) (dual of [132, 17, 74]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5113, 130, F5, 72) (dual of [130, 17, 73]-code) | [i] | Truncation | |