Information on Result #916058
Linear OOA(3182, 112, F3, 2, 98) (dual of [(112, 2), 42, 99]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(935, 28, F9, 2, 32) (dual of [(28, 2), 21, 33]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,23P) [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,23P) [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(3182, 112, F3, 2, 97) (dual of [(112, 2), 42, 98]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3182, 112, F3, 2, 96) (dual of [(112, 2), 42, 97]-NRT-code) | [i] | ||
| 3 | Linear OOA(3184, 113, F3, 2, 98) (dual of [(113, 2), 42, 99]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3186, 114, F3, 2, 98) (dual of [(114, 2), 42, 99]-NRT-code) | [i] | ||
| 5 | Linear OOA(3183, 112, F3, 2, 98) (dual of [(112, 2), 41, 99]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3181, 111, F3, 2, 97) (dual of [(111, 2), 41, 98]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3180, 111, F3, 2, 96) (dual of [(111, 2), 42, 97]-NRT-code) | [i] | ||
| 8 | Linear OOA(3179, 110, F3, 2, 95) (dual of [(110, 2), 41, 96]-NRT-code) | [i] | ||
| 9 | Linear OOA(3178, 110, F3, 2, 94) (dual of [(110, 2), 42, 95]-NRT-code) | [i] | ||
| 10 | Linear OOA(3177, 109, F3, 2, 93) (dual of [(109, 2), 41, 94]-NRT-code) | [i] | ||
| 11 | Linear OOA(3176, 109, F3, 2, 92) (dual of [(109, 2), 42, 93]-NRT-code) | [i] | ||
| 12 | Linear OOA(3175, 108, F3, 2, 91) (dual of [(108, 2), 41, 92]-NRT-code) | [i] | ||
| 13 | Linear OOA(3182, 56, F3, 4, 98) (dual of [(56, 4), 42, 99]-NRT-code) | [i] | OOA Folding | |