Information on Result #1030650
Linear OOA(3246, 100, F3, 3, 137) (dual of [(100, 3), 54, 138]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(948, 25, F9, 3, 45) (dual of [(25, 3), 27, 46]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(948, 28, F9, 3, 45) (dual of [(28, 3), 36, 46]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,38P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(3;F,38P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(948, 28, F9, 3, 45) (dual of [(28, 3), 36, 46]-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(3246, 100, F3, 3, 136) (dual of [(100, 3), 54, 137]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3246, 100, F3, 3, 135) (dual of [(100, 3), 54, 136]-NRT-code) | [i] | ||
| 3 | Linear OOA(3246, 100, F3, 3, 134) (dual of [(100, 3), 54, 135]-NRT-code) | [i] | ||
| 4 | Linear OOA(3249, 101, F3, 3, 137) (dual of [(101, 3), 54, 138]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(3247, 100, F3, 3, 137) (dual of [(100, 3), 53, 138]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3245, 99, F3, 3, 136) (dual of [(99, 3), 52, 137]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3244, 99, F3, 3, 135) (dual of [(99, 3), 53, 136]-NRT-code) | [i] | ||
| 8 | Linear OOA(3243, 99, F3, 3, 134) (dual of [(99, 3), 54, 135]-NRT-code) | [i] | ||
| 9 | Linear OOA(3242, 98, F3, 3, 133) (dual of [(98, 3), 52, 134]-NRT-code) | [i] | ||
| 10 | Linear OOA(3241, 98, F3, 3, 132) (dual of [(98, 3), 53, 133]-NRT-code) | [i] | ||
| 11 | Linear OOA(3240, 98, F3, 3, 131) (dual of [(98, 3), 54, 132]-NRT-code) | [i] | ||
| 12 | Linear OOA(3239, 97, F3, 3, 130) (dual of [(97, 3), 52, 131]-NRT-code) | [i] | ||
| 13 | Linear OOA(3238, 97, F3, 3, 129) (dual of [(97, 3), 53, 130]-NRT-code) | [i] | ||
| 14 | Linear OOA(3237, 97, F3, 3, 128) (dual of [(97, 3), 54, 129]-NRT-code) | [i] | ||