Information on Result #2210190
Linear OA(5110, 138, F5, 61) (dual of [138, 28, 62]-code), using strength reduction based on linear OA(5110, 138, F5, 62) (dual of [138, 28, 63]-code), using
- construction X applied to Ce(61) ⊂ Ce(48) [i] 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(512, 13, F5, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,5)), using
- dual of repetition code with length 13 [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(5110, 69, F5, 2, 61) (dual of [(69, 2), 28, 62]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(5110, 46, F5, 3, 61) (dual of [(46, 3), 28, 62]-NRT-code) | [i] | ||