Information on Result #916052
Linear OOA(3180, 112, F3, 2, 95) (dual of [(112, 2), 44, 96]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(934, 28, F9, 2, 31) (dual of [(28, 2), 22, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,24P) [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,24P) [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(3180, 112, F3, 2, 94) (dual of [(112, 2), 44, 95]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3180, 112, F3, 2, 93) (dual of [(112, 2), 44, 94]-NRT-code) | [i] | ||
| 3 | Linear OOA(3182, 113, F3, 2, 95) (dual of [(113, 2), 44, 96]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3184, 114, F3, 2, 95) (dual of [(114, 2), 44, 96]-NRT-code) | [i] | ||
| 5 | Linear OOA(3181, 112, F3, 2, 95) (dual of [(112, 2), 43, 96]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3179, 111, F3, 2, 94) (dual of [(111, 2), 43, 95]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3178, 111, F3, 2, 93) (dual of [(111, 2), 44, 94]-NRT-code) | [i] | ||
| 8 | Linear OOA(3177, 110, F3, 2, 92) (dual of [(110, 2), 43, 93]-NRT-code) | [i] | ||
| 9 | Linear OOA(3176, 110, F3, 2, 91) (dual of [(110, 2), 44, 92]-NRT-code) | [i] | ||
| 10 | Linear OOA(3175, 109, F3, 2, 90) (dual of [(109, 2), 43, 91]-NRT-code) | [i] | ||
| 11 | Linear OOA(3174, 109, F3, 2, 89) (dual of [(109, 2), 44, 90]-NRT-code) | [i] | ||
| 12 | Linear OOA(3173, 108, F3, 2, 88) (dual of [(108, 2), 43, 89]-NRT-code) | [i] | ||
| 13 | Linear OOA(3180, 56, F3, 4, 95) (dual of [(56, 4), 44, 96]-NRT-code) | [i] | OOA Folding | |