Information on Result #916125
Linear OOA(3198, 112, F3, 2, 122) (dual of [(112, 2), 26, 123]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(943, 28, F9, 2, 40) (dual of [(28, 2), 13, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,15P) [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(2;F,15P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, 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(3198, 112, F3, 2, 121) (dual of [(112, 2), 26, 122]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3198, 112, F3, 2, 120) (dual of [(112, 2), 26, 121]-NRT-code) | [i] | ||
| 3 | Linear OOA(3200, 113, F3, 2, 122) (dual of [(113, 2), 26, 123]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3202, 114, F3, 2, 122) (dual of [(114, 2), 26, 123]-NRT-code) | [i] | ||
| 5 | Linear OOA(3199, 112, F3, 2, 122) (dual of [(112, 2), 25, 123]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3197, 111, F3, 2, 121) (dual of [(111, 2), 25, 122]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3196, 111, F3, 2, 120) (dual of [(111, 2), 26, 121]-NRT-code) | [i] | ||
| 8 | Linear OOA(3195, 110, F3, 2, 119) (dual of [(110, 2), 25, 120]-NRT-code) | [i] | ||
| 9 | Linear OOA(3194, 110, F3, 2, 118) (dual of [(110, 2), 26, 119]-NRT-code) | [i] | ||
| 10 | Linear OOA(3193, 109, F3, 2, 117) (dual of [(109, 2), 25, 118]-NRT-code) | [i] | ||
| 11 | Linear OOA(3192, 109, F3, 2, 116) (dual of [(109, 2), 26, 117]-NRT-code) | [i] | ||
| 12 | Linear OOA(3191, 108, F3, 2, 115) (dual of [(108, 2), 25, 116]-NRT-code) | [i] | ||
| 13 | Linear OOA(3198, 56, F3, 4, 122) (dual of [(56, 4), 26, 123]-NRT-code) | [i] | OOA Folding | |