Information on Result #916070
Linear OOA(3172, 100, F3, 2, 101) (dual of [(100, 2), 28, 102]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(936, 25, F9, 2, 33) (dual of [(25, 2), 14, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(936, 28, F9, 2, 33) (dual of [(28, 2), 20, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,22P) [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,22P) [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(936, 28, F9, 2, 33) (dual of [(28, 2), 20, 34]-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(3172, 100, F3, 2, 100) (dual of [(100, 2), 28, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3172, 100, F3, 2, 99) (dual of [(100, 2), 28, 100]-NRT-code) | [i] | ||
| 3 | Linear OOA(3171, 99, F3, 2, 100) (dual of [(99, 2), 27, 101]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3170, 99, F3, 2, 99) (dual of [(99, 2), 28, 100]-NRT-code) | [i] | ||
| 5 | Linear OOA(3169, 98, F3, 2, 98) (dual of [(98, 2), 27, 99]-NRT-code) | [i] | ||
| 6 | Linear OOA(3168, 98, F3, 2, 97) (dual of [(98, 2), 28, 98]-NRT-code) | [i] | ||
| 7 | Linear OOA(3167, 97, F3, 2, 96) (dual of [(97, 2), 27, 97]-NRT-code) | [i] | ||
| 8 | Linear OOA(3166, 97, F3, 2, 95) (dual of [(97, 2), 28, 96]-NRT-code) | [i] | ||
| 9 | Linear OOA(3172, 50, F3, 4, 101) (dual of [(50, 4), 28, 102]-NRT-code) | [i] | OOA Folding | |