Information on Result #684017
Linear OA(5108, 131, F5, 68) (dual of [131, 23, 69]-code), using construction X applied to Ce(67) ⊂ Ce(63) based on
- linear OA(5105, 125, F5, 68) (dual of [125, 20, 69]-code), using an extension Ce(67) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
- linear OA(5102, 125, F5, 64) (dual of [125, 23, 65]-code), using an extension Ce(63) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,63], and designed minimum distance d ≥ |I|+1 = 64 [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(5109, 132, F5, 68) (dual of [132, 23, 69]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5107, 130, F5, 67) (dual of [130, 23, 68]-code) | [i] | Truncation | |
| 3 | Linear OA(5106, 129, F5, 66) (dual of [129, 23, 67]-code) | [i] | ||
| 4 | Linear OOA(5108, 65, F5, 2, 68) (dual of [(65, 2), 22, 69]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5108, 43, F5, 3, 68) (dual of [(43, 3), 21, 69]-NRT-code) | [i] | ||