Information on Result #610557
Linear OA(488, 90, F4, 71) (dual of [90, 2, 72]-code), using repeating each code word 18 times based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [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(488, 90, F4, 70) (dual of [90, 2, 71]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(488, 90, F4, 69) (dual of [90, 2, 70]-code) | [i] | ||
| 3 | Linear OA(488, 90, F4, 68) (dual of [90, 2, 69]-code) | [i] | ||
| 4 | Linear OA(487, 89, F4, 70) (dual of [89, 2, 71]-code) | [i] | Truncation | |
| 5 | Linear OA(486, 88, F4, 69) (dual of [88, 2, 70]-code) | [i] | ||
| 6 | Linear OA(485, 87, F4, 68) (dual of [87, 2, 69]-code) | [i] | ||
| 7 | Linear OA(484, 86, F4, 67) (dual of [86, 2, 68]-code) | [i] | ||
| 8 | Linear OA(482, 84, F4, 65) (dual of [84, 2, 66]-code) | [i] | ||
| 9 | Linear OA(481, 83, F4, 64) (dual of [83, 2, 65]-code) | [i] | ||
| 10 | Linear OA(480, 82, F4, 63) (dual of [82, 2, 64]-code) | [i] | ||
| 11 | Linear OA(479, 81, F4, 62) (dual of [81, 2, 63]-code) | [i] | ||
| 12 | Linear OA(477, 79, F4, 60) (dual of [79, 2, 61]-code) | [i] | ||
| 13 | Linear OOA(488, 45, F4, 2, 71) (dual of [(45, 2), 2, 72]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(488, 30, F4, 3, 71) (dual of [(30, 3), 2, 72]-NRT-code) | [i] | ||