Information on Result #2277653
Linear OA(5129, 3154, F5, 31) (dual of [3154, 3025, 32]-code), using 1 times code embedding in larger space based on linear OA(5128, 3153, F5, 31) (dual of [3153, 3025, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,12]) [i] based on
- linear OA(5121, 3126, F5, 31) (dual of [3126, 3005, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(5101, 3126, F5, 25) (dual of [3126, 3025, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(57, 27, F5, 5) (dual of [27, 20, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(57, 28, F5, 5) (dual of [28, 21, 6]-code), 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 OOA(5129, 1577, F5, 2, 31) (dual of [(1577, 2), 3025, 32]-NRT-code) | [i] | OOA Folding | |