Information on Result #916121
Linear OOA(3212, 128, F3, 2, 113) (dual of [(128, 2), 44, 114]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(942, 32, F9, 2, 37) (dual of [(32, 2), 22, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,26P) [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, 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(3212, 128, F3, 2, 112) (dual of [(128, 2), 44, 113]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3212, 128, F3, 2, 111) (dual of [(128, 2), 44, 112]-NRT-code) | [i] | ||
| 3 | Linear OOA(3214, 129, F3, 2, 113) (dual of [(129, 2), 44, 114]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3216, 130, F3, 2, 113) (dual of [(130, 2), 44, 114]-NRT-code) | [i] | ||
| 5 | Linear OOA(3213, 128, F3, 2, 113) (dual of [(128, 2), 43, 114]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3211, 127, F3, 2, 112) (dual of [(127, 2), 43, 113]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3210, 127, F3, 2, 111) (dual of [(127, 2), 44, 112]-NRT-code) | [i] | ||
| 8 | Linear OOA(3209, 126, F3, 2, 110) (dual of [(126, 2), 43, 111]-NRT-code) | [i] | ||
| 9 | Linear OOA(3208, 126, F3, 2, 109) (dual of [(126, 2), 44, 110]-NRT-code) | [i] | ||
| 10 | Linear OOA(3207, 125, F3, 2, 108) (dual of [(125, 2), 43, 109]-NRT-code) | [i] | ||
| 11 | Linear OOA(3206, 125, F3, 2, 107) (dual of [(125, 2), 44, 108]-NRT-code) | [i] | ||
| 12 | Linear OOA(3205, 124, F3, 2, 106) (dual of [(124, 2), 43, 107]-NRT-code) | [i] | ||
| 13 | Linear OOA(3212, 64, F3, 4, 113) (dual of [(64, 4), 44, 114]-NRT-code) | [i] | OOA Folding | |