Information on Result #1301628
Linear OA(5103, 131, F5, 60) (dual of [131, 28, 61]-code), using construction X with Varšamov bound based on
- linear OA(596, 123, F5, 60) (dual of [123, 27, 61]-code), using
- 3 times truncation [i] based on linear OA(599, 126, F5, 63) (dual of [126, 27, 64]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,31], and minimum distance d ≥ |{−31,−30,…,31}|+1 = 64 (BCH-bound) [i]
- 3 times truncation [i] based on linear OA(599, 126, F5, 63) (dual of [126, 27, 64]-code), using
- linear OA(596, 124, F5, 53) (dual of [124, 28, 54]-code), using Gilbert–Varšamov bound and bm = 596 > Vbs−1(k−1) = 4 375821 518306 510847 717569 215691 849036 574856 155077 938700 157635 259421 [i]
- linear OA(56, 7, F5, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,5)), using
- dual of repetition code with length 7 [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(5103, 131, F5, 59) (dual of [131, 28, 60]-code) | [i] | Strength Reduction | |