Information on Result #916149
Linear OOA(3230, 140, F3, 2, 116) (dual of [(140, 2), 50, 117]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(945, 35, F9, 2, 38) (dual of [(35, 2), 25, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(945, 36, F9, 2, 38) (dual of [(36, 2), 27, 39]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,33P) [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 36, using
- discarding factors / shortening the dual code based on linear OOA(945, 36, F9, 2, 38) (dual of [(36, 2), 27, 39]-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(3230, 140, F3, 2, 115) (dual of [(140, 2), 50, 116]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3231, 140, F3, 2, 116) (dual of [(140, 2), 49, 117]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3229, 139, F3, 2, 115) (dual of [(139, 2), 49, 116]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3230, 70, F3, 4, 116) (dual of [(70, 4), 50, 117]-NRT-code) | [i] | OOA Folding | |