Information on Result #912335
Linear OOA(3212, 108, F3, 2, 167) (dual of [(108, 2), 4, 168]-NRT-code), using concatenation of two NRT-codes based on
- linear OA(925, 27, F9, 23) (dual of [27, 2, 24]-code), using
- algebraic-geometric code AG(F,3P) with known gap numbers [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using the Hermitian function field over F9 [i]
- 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(3212, 108, F3, 2, 166) (dual of [(108, 2), 4, 167]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3212, 108, F3, 2, 165) (dual of [(108, 2), 4, 166]-NRT-code) | [i] | ||
| 3 | Linear OOA(3212, 108, F3, 2, 164) (dual of [(108, 2), 4, 165]-NRT-code) | [i] | ||
| 4 | Linear OOA(3212, 108, F3, 2, 163) (dual of [(108, 2), 4, 164]-NRT-code) | [i] | ||
| 5 | Linear OOA(3212, 108, F3, 2, 162) (dual of [(108, 2), 4, 163]-NRT-code) | [i] | ||
| 6 | Linear OOA(3210, 107, F3, 2, 165) (dual of [(107, 2), 4, 166]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3208, 106, F3, 2, 163) (dual of [(106, 2), 4, 164]-NRT-code) | [i] | ||
| 8 | Linear OOA(3206, 105, F3, 2, 161) (dual of [(105, 2), 4, 162]-NRT-code) | [i] | ||
| 9 | Linear OOA(3202, 103, F3, 2, 157) (dual of [(103, 2), 4, 158]-NRT-code) | [i] | ||
| 10 | Linear OOA(3200, 102, F3, 2, 155) (dual of [(102, 2), 4, 156]-NRT-code) | [i] | ||
| 11 | Linear OOA(3212, 54, F3, 4, 167) (dual of [(54, 4), 4, 168]-NRT-code) | [i] | OOA Folding | |