Information on Result #912338
Linear OOA(3220, 112, F3, 2, 174) (dual of [(112, 2), 4, 175]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(926, 28, F9, 24) (dual of [28, 2, 25]-code), using
- 2 times truncation [i] based on linear OA(928, 30, F9, 26) (dual of [30, 2, 27]-code), using
- repeating each code word 3 times [i] based on linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- extended Reed–Solomon code RSe(2,9) [i]
- Simplex code S(2,9) [i]
- repeating each code word 3 times [i] based on linear OA(98, 10, F9, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
- 2 times truncation [i] based on linear OA(928, 30, F9, 26) (dual of [30, 2, 27]-code), using
- linear OOA(36, 4, F3, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;2,3) [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3220, 112, F3, 2, 173) (dual of [(112, 2), 4, 174]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3220, 112, F3, 2, 172) (dual of [(112, 2), 4, 173]-NRT-code) | [i] | ||
| 3 | Linear OOA(3220, 112, F3, 2, 171) (dual of [(112, 2), 4, 172]-NRT-code) | [i] | ||
| 4 | Linear OOA(3220, 112, F3, 2, 170) (dual of [(112, 2), 4, 171]-NRT-code) | [i] | ||
| 5 | Linear OOA(3220, 112, F3, 2, 169) (dual of [(112, 2), 4, 170]-NRT-code) | [i] | ||
| 6 | Linear OOA(3220, 112, F3, 2, 168) (dual of [(112, 2), 4, 169]-NRT-code) | [i] | ||
| 7 | Linear OOA(3218, 111, F3, 2, 172) (dual of [(111, 2), 4, 173]-NRT-code) | [i] | Truncation for OOAs | |
| 8 | Linear OOA(3216, 110, F3, 2, 170) (dual of [(110, 2), 4, 171]-NRT-code) | [i] | ||
| 9 | Linear OOA(3214, 109, F3, 2, 168) (dual of [(109, 2), 4, 169]-NRT-code) | [i] | ||
| 10 | Linear OOA(3210, 107, F3, 2, 164) (dual of [(107, 2), 4, 165]-NRT-code) | [i] | ||
| 11 | Linear OOA(3208, 106, F3, 2, 162) (dual of [(106, 2), 4, 163]-NRT-code) | [i] | ||
| 12 | Linear OOA(3206, 105, F3, 2, 160) (dual of [(105, 2), 4, 161]-NRT-code) | [i] | ||
| 13 | Linear OOA(3202, 103, F3, 2, 156) (dual of [(103, 2), 4, 157]-NRT-code) | [i] | ||
| 14 | Linear OOA(3200, 102, F3, 2, 154) (dual of [(102, 2), 4, 155]-NRT-code) | [i] | ||
| 15 | Linear OOA(3220, 56, F3, 4, 174) (dual of [(56, 4), 4, 175]-NRT-code) | [i] | OOA Folding | |