Information on Result #1030601
Linear OOA(3190, 76, F3, 3, 110) (dual of [(76, 3), 38, 111]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(938, 19, F9, 3, 36) (dual of [(19, 3), 19, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(938, 20, F9, 3, 36) (dual of [(20, 3), 22, 37]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,23P) [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(938, 20, F9, 3, 36) (dual of [(20, 3), 22, 37]-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(3190, 76, F3, 3, 109) (dual of [(76, 3), 38, 110]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3190, 76, F3, 3, 108) (dual of [(76, 3), 38, 109]-NRT-code) | [i] | ||
| 3 | Linear OOA(3191, 76, F3, 3, 110) (dual of [(76, 3), 37, 111]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3188, 75, F3, 3, 108) (dual of [(75, 3), 37, 109]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3186, 74, F3, 3, 106) (dual of [(74, 3), 36, 107]-NRT-code) | [i] | ||