Information on Result #916003
Linear OOA(3110, 60, F3, 2, 74) (dual of [(60, 2), 10, 75]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(925, 15, F9, 2, 24) (dual of [(15, 2), 5, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(925, 16, F9, 2, 24) (dual of [(16, 2), 7, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,7P) [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(925, 16, F9, 2, 24) (dual of [(16, 2), 7, 25]-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(3110, 60, F3, 2, 73) (dual of [(60, 2), 10, 74]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3110, 60, F3, 2, 72) (dual of [(60, 2), 10, 73]-NRT-code) | [i] | ||
| 3 | Linear OOA(3109, 59, F3, 2, 73) (dual of [(59, 2), 9, 74]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3108, 59, F3, 2, 72) (dual of [(59, 2), 10, 73]-NRT-code) | [i] | ||
| 5 | Linear OOA(3107, 58, F3, 2, 71) (dual of [(58, 2), 9, 72]-NRT-code) | [i] | ||
| 6 | Linear OOA(3106, 58, F3, 2, 70) (dual of [(58, 2), 10, 71]-NRT-code) | [i] | ||
| 7 | Linear OOA(3105, 57, F3, 2, 69) (dual of [(57, 2), 9, 70]-NRT-code) | [i] | ||
| 8 | Linear OOA(3104, 57, F3, 2, 68) (dual of [(57, 2), 10, 69]-NRT-code) | [i] | ||
| 9 | Linear OOA(3110, 30, F3, 4, 74) (dual of [(30, 4), 10, 75]-NRT-code) | [i] | OOA Folding | |