Information on Result #916197
Linear OOA(3248, 144, F3, 2, 137) (dual of [(144, 2), 40, 138]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(952, 36, F9, 2, 45) (dual of [(36, 2), 20, 46]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,26P) [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 36, 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(3248, 144, F3, 2, 136) (dual of [(144, 2), 40, 137]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3248, 144, F3, 2, 135) (dual of [(144, 2), 40, 136]-NRT-code) | [i] | ||
| 3 | Linear OOA(3250, 145, F3, 2, 137) (dual of [(145, 2), 40, 138]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3247, 143, F3, 2, 136) (dual of [(143, 2), 39, 137]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3246, 143, F3, 2, 135) (dual of [(143, 2), 40, 136]-NRT-code) | [i] | ||
| 6 | Linear OOA(3245, 142, F3, 2, 134) (dual of [(142, 2), 39, 135]-NRT-code) | [i] | ||
| 7 | Linear OOA(3244, 142, F3, 2, 133) (dual of [(142, 2), 40, 134]-NRT-code) | [i] | ||
| 8 | Linear OOA(3243, 141, F3, 2, 132) (dual of [(141, 2), 39, 133]-NRT-code) | [i] | ||
| 9 | Linear OOA(3242, 141, F3, 2, 131) (dual of [(141, 2), 40, 132]-NRT-code) | [i] | ||
| 10 | Linear OOA(3248, 72, F3, 4, 137) (dual of [(72, 4), 40, 138]-NRT-code) | [i] | OOA Folding | |