Information on Result #1439199
Linear OOA(5125, 13812, F5, 2, 25) (dual of [(13812, 2), 27499, 26]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5125, 13812, F5, 25) (dual of [13812, 13687, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(5125, 15652, F5, 25) (dual of [15652, 15527, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(5121, 15626, F5, 25) (dual of [15626, 15505, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(597, 15626, F5, 21) (dual of [15626, 15529, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
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 OOA(5125, 6906, F5, 3, 25) (dual of [(6906, 3), 20593, 26]-NRT-code) | [i] | OOA Folding | |