Information on Result #610658
Linear OA(5100, 102, F5, 84) (dual of [102, 2, 85]-code), using repeating each code word 17 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(5100, 102, F5, 83) (dual of [102, 2, 84]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5100, 102, F5, 82) (dual of [102, 2, 83]-code) | [i] | ||
| 3 | Linear OA(599, 101, F5, 83) (dual of [101, 2, 84]-code) | [i] | Truncation | |
| 4 | Linear OA(598, 100, F5, 82) (dual of [100, 2, 83]-code) | [i] | ||
| 5 | Linear OA(597, 99, F5, 81) (dual of [99, 2, 82]-code) | [i] | ||
| 6 | Linear OA(596, 98, F5, 80) (dual of [98, 2, 81]-code) | [i] | ||
| 7 | Linear OA(595, 97, F5, 79) (dual of [97, 2, 80]-code) | [i] | ||
| 8 | Linear OA(593, 95, F5, 77) (dual of [95, 2, 78]-code) | [i] | ||
| 9 | Linear OA(592, 94, F5, 76) (dual of [94, 2, 77]-code) | [i] | ||
| 10 | Linear OA(591, 93, F5, 75) (dual of [93, 2, 76]-code) | [i] | ||
| 11 | Linear OOA(5100, 51, F5, 2, 84) (dual of [(51, 2), 2, 85]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(5100, 34, F5, 3, 84) (dual of [(34, 3), 2, 85]-NRT-code) | [i] | ||