Information on Result #916079
Linear OOA(3170, 96, F3, 2, 104) (dual of [(96, 2), 22, 105]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(937, 24, F9, 2, 34) (dual of [(24, 2), 11, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(937, 28, F9, 2, 34) (dual of [(28, 2), 19, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,21P) [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,21P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(937, 28, F9, 2, 34) (dual of [(28, 2), 19, 35]-NRT-code), 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(3170, 96, F3, 2, 103) (dual of [(96, 2), 22, 104]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3170, 96, F3, 2, 102) (dual of [(96, 2), 22, 103]-NRT-code) | [i] | ||
| 3 | Linear OOA(3169, 95, F3, 2, 103) (dual of [(95, 2), 21, 104]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3168, 95, F3, 2, 102) (dual of [(95, 2), 22, 103]-NRT-code) | [i] | ||
| 5 | Linear OOA(3167, 94, F3, 2, 101) (dual of [(94, 2), 21, 102]-NRT-code) | [i] | ||
| 6 | Linear OOA(3166, 94, F3, 2, 100) (dual of [(94, 2), 22, 101]-NRT-code) | [i] | ||
| 7 | Linear OOA(3165, 93, F3, 2, 99) (dual of [(93, 2), 21, 100]-NRT-code) | [i] | ||
| 8 | Linear OOA(3164, 93, F3, 2, 98) (dual of [(93, 2), 22, 99]-NRT-code) | [i] | ||
| 9 | Linear OOA(3170, 48, F3, 4, 104) (dual of [(48, 4), 22, 105]-NRT-code) | [i] | OOA Folding | |