Information on Result #916012
Linear OOA(3130, 76, F3, 2, 77) (dual of [(76, 2), 22, 78]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(927, 19, F9, 2, 25) (dual of [(19, 2), 11, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(927, 20, F9, 2, 25) (dual of [(20, 2), 13, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,14P) [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- discarding factors / shortening the dual code based on linear OOA(927, 20, F9, 2, 25) (dual of [(20, 2), 13, 26]-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(3130, 76, F3, 2, 76) (dual of [(76, 2), 22, 77]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3130, 76, F3, 2, 75) (dual of [(76, 2), 22, 76]-NRT-code) | [i] | ||
| 3 | Linear OOA(3129, 75, F3, 2, 76) (dual of [(75, 2), 21, 77]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3128, 75, F3, 2, 75) (dual of [(75, 2), 22, 76]-NRT-code) | [i] | ||
| 5 | Linear OOA(3127, 74, F3, 2, 74) (dual of [(74, 2), 21, 75]-NRT-code) | [i] | ||
| 6 | Linear OOA(3126, 74, F3, 2, 73) (dual of [(74, 2), 22, 74]-NRT-code) | [i] | ||
| 7 | Linear OOA(3125, 73, F3, 2, 72) (dual of [(73, 2), 21, 73]-NRT-code) | [i] | ||
| 8 | Linear OOA(3124, 73, F3, 2, 71) (dual of [(73, 2), 22, 72]-NRT-code) | [i] | ||
| 9 | Linear OOA(3130, 38, F3, 4, 77) (dual of [(38, 4), 22, 78]-NRT-code) | [i] | OOA Folding | |