Information on Result #684024
Linear OA(5108, 137, F5, 59) (dual of [137, 29, 60]-code), using construction X applied to Ce(61) ⊂ Ce(48) 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(510, 12, F5, 9) (dual of [12, 2, 10]-code), using
- repeating each code word 2 times [i] based on linear OA(54, 6, F5, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
- extended Reed–Solomon code RSe(2,5) [i]
- Simplex code S(2,5) [i]
- repeating each code word 2 times [i] based on linear OA(54, 6, F5, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
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(5107, 136, F5, 58) (dual of [136, 29, 59]-code) | [i] | Truncation | |
| 2 | Linear OOA(5108, 68, F5, 2, 59) (dual of [(68, 2), 28, 60]-NRT-code) | [i] | OOA Folding | |