Information on Result #638141
Linear OA(598, 102, F5, 79) (dual of [102, 4, 80]-code), using concatenation of two codes based on
- linear OA(2515, 17, F25, 15) (dual of [17, 2, 16]-code or 17-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(598, 102, F5, 78) (dual of [102, 4, 79]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(597, 101, F5, 78) (dual of [101, 4, 79]-code) | [i] | Truncation | |
| 3 | Linear OA(596, 100, F5, 77) (dual of [100, 4, 78]-code) | [i] | ||
| 4 | Linear OA(595, 99, F5, 76) (dual of [99, 4, 77]-code) | [i] | ||
| 5 | Linear OA(594, 98, F5, 75) (dual of [98, 4, 76]-code) | [i] | ||
| 6 | Linear OA(593, 97, F5, 74) (dual of [97, 4, 75]-code) | [i] | ||
| 7 | Linear OA(590, 94, F5, 71) (dual of [94, 4, 72]-code) | [i] | ||
| 8 | Linear OA(589, 93, F5, 70) (dual of [93, 4, 71]-code) | [i] | ||
| 9 | Linear OA(588, 92, F5, 69) (dual of [92, 4, 70]-code) | [i] | ||
| 10 | Linear OOA(598, 51, F5, 2, 79) (dual of [(51, 2), 4, 80]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(598, 34, F5, 3, 79) (dual of [(34, 3), 4, 80]-NRT-code) | [i] | ||