Information on Result #1301635
Linear OA(5104, 132, F5, 61) (dual of [132, 28, 62]-code), using construction X with Varšamov bound based on
- linear OA(597, 124, F5, 61) (dual of [124, 27, 62]-code), using
- 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(597, 125, F5, 54) (dual of [125, 28, 55]-code), using Gilbert–Varšamov bound and bm = 597 > Vbs−1(k−1) = 41 123065 687435 588879 439532 993509 667178 190518 679925 408173 578871 348369 [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(5104, 132, F5, 60) (dual of [132, 28, 61]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5101, 129, F5, 58) (dual of [129, 28, 59]-code) | [i] | Truncation | |