Information on Result #916172
Linear OOA(3218, 120, F3, 2, 137) (dual of [(120, 2), 22, 138]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(949, 30, F9, 2, 45) (dual of [(30, 2), 11, 46]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,14P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, 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(3218, 120, F3, 2, 136) (dual of [(120, 2), 22, 137]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3218, 120, F3, 2, 135) (dual of [(120, 2), 22, 136]-NRT-code) | [i] | ||
| 3 | Linear OOA(3220, 121, F3, 2, 137) (dual of [(121, 2), 22, 138]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3222, 122, F3, 2, 137) (dual of [(122, 2), 22, 138]-NRT-code) | [i] | ||
| 5 | Linear OOA(3217, 119, F3, 2, 136) (dual of [(119, 2), 21, 137]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(3216, 119, F3, 2, 135) (dual of [(119, 2), 22, 136]-NRT-code) | [i] | ||
| 7 | Linear OOA(3215, 118, F3, 2, 134) (dual of [(118, 2), 21, 135]-NRT-code) | [i] | ||
| 8 | Linear OOA(3214, 118, F3, 2, 133) (dual of [(118, 2), 22, 134]-NRT-code) | [i] | ||
| 9 | Linear OOA(3213, 117, F3, 2, 132) (dual of [(117, 2), 21, 133]-NRT-code) | [i] | ||
| 10 | Linear OOA(3212, 117, F3, 2, 131) (dual of [(117, 2), 22, 132]-NRT-code) | [i] | ||
| 11 | Linear OOA(3211, 116, F3, 2, 130) (dual of [(116, 2), 21, 131]-NRT-code) | [i] | ||
| 12 | Linear OOA(3218, 60, F3, 4, 137) (dual of [(60, 4), 22, 138]-NRT-code) | [i] | OOA Folding | |