Information on Result #610657
Linear OA(5106, 108, F5, 89) (dual of [108, 2, 90]-code), using repeating each code word 18 times based on 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(5106, 108, F5, 88) (dual of [108, 2, 89]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5106, 108, F5, 87) (dual of [108, 2, 88]-code) | [i] | ||
| 3 | Linear OA(5105, 107, F5, 88) (dual of [107, 2, 89]-code) | [i] | Truncation | |
| 4 | Linear OA(5104, 106, F5, 87) (dual of [106, 2, 88]-code) | [i] | ||
| 5 | Linear OA(5103, 105, F5, 86) (dual of [105, 2, 87]-code) | [i] | ||
| 6 | Linear OA(5102, 104, F5, 85) (dual of [104, 2, 86]-code) | [i] | ||
| 7 | Linear OA(5101, 103, F5, 84) (dual of [103, 2, 85]-code) | [i] | ||
| 8 | Linear OA(599, 101, F5, 82) (dual of [101, 2, 83]-code) | [i] | ||
| 9 | Linear OA(598, 100, F5, 81) (dual of [100, 2, 82]-code) | [i] | ||
| 10 | Linear OA(597, 99, F5, 80) (dual of [99, 2, 81]-code) | [i] | ||
| 11 | Linear OA(596, 98, F5, 79) (dual of [98, 2, 80]-code) | [i] | ||
| 12 | Linear OA(595, 97, F5, 78) (dual of [97, 2, 79]-code) | [i] | ||
| 13 | Linear OA(593, 95, F5, 76) (dual of [95, 2, 77]-code) | [i] | ||
| 14 | Linear OA(592, 94, F5, 75) (dual of [94, 2, 76]-code) | [i] | ||
| 15 | Linear OOA(5106, 54, F5, 2, 89) (dual of [(54, 2), 2, 90]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(5106, 36, F5, 3, 89) (dual of [(36, 3), 2, 90]-NRT-code) | [i] | ||