Information on Result #1030228
Linear OOA(3172, 78, F3, 3, 89) (dual of [(78, 3), 62, 90]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(947, 26, F9, 3, 44) (dual of [(26, 3), 31, 45]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(947, 28, F9, 3, 44) (dual of [(28, 3), 37, 45]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,39P) [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(3;F,39P) [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(947, 28, F9, 3, 44) (dual of [(28, 3), 37, 45]-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(3172, 78, F3, 3, 88) (dual of [(78, 3), 62, 89]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3172, 78, F3, 3, 87) (dual of [(78, 3), 62, 88]-NRT-code) | [i] | ||
| 3 | Linear OOA(3173, 78, F3, 3, 89) (dual of [(78, 3), 61, 90]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3171, 77, F3, 3, 88) (dual of [(77, 3), 60, 89]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3172, 39, F3, 5, 89) (dual of [(39, 5), 23, 90]-NRT-code) | [i] | OOA Folding | |