Information on Result #1311437
Linear OA(5111, 140, F5, 64) (dual of [140, 29, 65]-code), using construction X with Varšamov–Edel bound based on
- linear OA(5106, 135, F5, 60) (dual of [135, 29, 61]-code), using 2 step Varšamov–Edel lengthening with (ri) = (2, 1) [i] based on linear OA(5103, 130, F5, 64) (dual of [130, 27, 65]-code), using
- construction X applied to Ce(63) ⊂ Ce(61) [i] based on
- 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(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(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(63) ⊂ Ce(61) [i] based on
- linear OA(53, 5, F5, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), using
- Reed–Solomon code RS(2,5) [i]
Mode: 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(5110, 139, F5, 63) (dual of [139, 29, 64]-code) | [i] | Truncation | |