Information on Result #916176
Linear OOA(3230, 132, F3, 2, 131) (dual of [(132, 2), 34, 132]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(949, 33, F9, 2, 43) (dual of [(33, 2), 17, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(949, 34, F9, 2, 43) (dual of [(34, 2), 19, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,24P) [i] based on function field F/F9 with g(F) = 6 and N(F) ≥ 34, using
- discarding factors / shortening the dual code based on linear OOA(949, 34, F9, 2, 43) (dual of [(34, 2), 19, 44]-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, 132, F3, 2, 130) (dual of [(132, 2), 34, 131]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3230, 132, F3, 2, 129) (dual of [(132, 2), 34, 130]-NRT-code) | [i] | ||
| 3 | Linear OOA(3229, 131, F3, 2, 130) (dual of [(131, 2), 33, 131]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3228, 131, F3, 2, 129) (dual of [(131, 2), 34, 130]-NRT-code) | [i] | ||
| 5 | Linear OOA(3227, 130, F3, 2, 128) (dual of [(130, 2), 33, 129]-NRT-code) | [i] | ||
| 6 | Linear OOA(3226, 130, F3, 2, 127) (dual of [(130, 2), 34, 128]-NRT-code) | [i] | ||
| 7 | Linear OOA(3225, 129, F3, 2, 126) (dual of [(129, 2), 33, 127]-NRT-code) | [i] | ||
| 8 | Linear OOA(3230, 66, F3, 4, 131) (dual of [(66, 4), 34, 132]-NRT-code) | [i] | OOA Folding | |