Information on Result #610663
Linear OA(570, 72, F5, 59) (dual of [72, 2, 60]-code), using repeating each code word 12 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(570, 72, F5, 58) (dual of [72, 2, 59]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(569, 71, F5, 58) (dual of [71, 2, 59]-code) | [i] | Truncation | |
| 3 | Linear OA(568, 70, F5, 57) (dual of [70, 2, 58]-code) | [i] | ||
| 4 | Linear OA(567, 69, F5, 56) (dual of [69, 2, 57]-code) | [i] | ||
| 5 | Linear OA(566, 68, F5, 55) (dual of [68, 2, 56]-code) | [i] | ||
| 6 | Linear OA(565, 67, F5, 54) (dual of [67, 2, 55]-code) | [i] | ||
| 7 | Linear OA(563, 65, F5, 52) (dual of [65, 2, 53]-code) | [i] | ||
| 8 | Linear OA(562, 64, F5, 51) (dual of [64, 2, 52]-code) | [i] | ||
| 9 | Linear OA(561, 63, F5, 50) (dual of [63, 2, 51]-code) | [i] | ||
| 10 | Linear OOA(570, 36, F5, 2, 59) (dual of [(36, 2), 2, 60]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(570, 24, F5, 3, 59) (dual of [(24, 3), 2, 60]-NRT-code) | [i] | ||