Information on Result #638138
Linear OA(5126, 144, F5, 79) (dual of [144, 18, 80]-code), using concatenation of two codes based on
- linear OA(2515, 24, F25, 15) (dual of [24, 9, 16]-code or 24-arc in PG(14,25)), using
- discarding factors / shortening the dual code based on linear OA(2515, 25, F25, 15) (dual of [25, 10, 16]-code or 25-arc in PG(14,25)), using
- Reed–Solomon code RS(10,25) [i]
- discarding factors / shortening the dual code based on linear OA(2515, 25, F25, 15) (dual of [25, 10, 16]-code or 25-arc in PG(14,25)), using
- linear OA(54, 6, F5, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), using
- extended Reed–Solomon code RSe(2,5) [i]
- Simplex code S(2,5) [i]
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 OA(5126, 144, F5, 78) (dual of [144, 18, 79]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5125, 143, F5, 78) (dual of [143, 18, 79]-code) | [i] | Truncation | |
| 3 | Linear OA(5124, 142, F5, 77) (dual of [142, 18, 78]-code) | [i] | ||
| 4 | Linear OA(5123, 141, F5, 76) (dual of [141, 18, 77]-code) | [i] | ||
| 5 | Linear OA(5122, 140, F5, 75) (dual of [140, 18, 76]-code) | [i] | ||
| 6 | Linear OOA(5126, 72, F5, 2, 79) (dual of [(72, 2), 18, 80]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(5126, 48, F5, 3, 79) (dual of [(48, 3), 18, 80]-NRT-code) | [i] | ||