Information on Result #915509
Linear OOA(3124, 78, F3, 2, 67) (dual of [(78, 2), 32, 68]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(936, 26, F9, 2, 33) (dual of [(26, 2), 16, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(936, 28, F9, 2, 33) (dual of [(28, 2), 20, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,22P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(2;F,22P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(936, 28, F9, 2, 33) (dual of [(28, 2), 20, 34]-NRT-code), using
- linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(3124, 78, F3, 2, 66) (dual of [(78, 2), 32, 67]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3125, 78, F3, 2, 67) (dual of [(78, 2), 31, 68]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3123, 77, F3, 2, 66) (dual of [(77, 2), 31, 67]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3124, 39, F3, 4, 67) (dual of [(39, 4), 32, 68]-NRT-code) | [i] | OOA Folding | |