Information on Result #1030582
Linear OOA(3152, 60, F3, 3, 92) (dual of [(60, 3), 28, 93]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(931, 15, F9, 3, 30) (dual of [(15, 3), 14, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(931, 16, F9, 3, 30) (dual of [(16, 3), 17, 31]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,17P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OOA(931, 16, F9, 3, 30) (dual of [(16, 3), 17, 31]-NRT-code), using
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [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(3152, 60, F3, 3, 91) (dual of [(60, 3), 28, 92]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3152, 60, F3, 3, 90) (dual of [(60, 3), 28, 91]-NRT-code) | [i] | ||
| 3 | Linear OOA(3153, 60, F3, 3, 92) (dual of [(60, 3), 27, 93]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3151, 59, F3, 3, 91) (dual of [(59, 3), 26, 92]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3150, 59, F3, 3, 90) (dual of [(59, 3), 27, 91]-NRT-code) | [i] | ||
| 6 | Linear OOA(3149, 59, F3, 3, 89) (dual of [(59, 3), 28, 90]-NRT-code) | [i] | ||
| 7 | Linear OOA(3146, 58, F3, 3, 86) (dual of [(58, 3), 28, 87]-NRT-code) | [i] | ||
| 8 | Linear OOA(3140, 56, F3, 3, 80) (dual of [(56, 3), 28, 81]-NRT-code) | [i] | ||