Information on Result #684245
Linear OA(5101, 132, F5, 52) (dual of [132, 31, 53]-code), using construction XX applied to Ce(61) ⊂ Ce(48) ⊂ Ce(47) based on
- linear OA(598, 125, F5, 62) (dual of [125, 27, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
- linear OA(595, 125, F5, 49) (dual of [125, 30, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(592, 125, F5, 48) (dual of [125, 33, 49]-code), using an extension Ce(47) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [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]
- linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [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(5101, 66, F5, 2, 52) (dual of [(66, 2), 31, 53]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5101, 44, F5, 3, 52) (dual of [(44, 3), 31, 53]-NRT-code) | [i] | ||