Information on Result #916124
Linear OOA(3216, 132, F3, 2, 110) (dual of [(132, 2), 48, 111]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(942, 33, F9, 2, 36) (dual of [(33, 2), 24, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(942, 34, F9, 2, 36) (dual of [(34, 2), 26, 37]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,31P) [i] based on function field F/F9 with g(F) = 6 and N(F) ≥ 34, using
- discarding factors / shortening the dual code based on linear OOA(942, 34, F9, 2, 36) (dual of [(34, 2), 26, 37]-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(3217, 132, F3, 2, 110) (dual of [(132, 2), 47, 111]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3215, 131, F3, 2, 109) (dual of [(131, 2), 47, 110]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3214, 131, F3, 2, 108) (dual of [(131, 2), 48, 109]-NRT-code) | [i] | ||
| 4 | Linear OOA(3213, 130, F3, 2, 107) (dual of [(130, 2), 47, 108]-NRT-code) | [i] | ||
| 5 | Linear OOA(3212, 130, F3, 2, 106) (dual of [(130, 2), 48, 107]-NRT-code) | [i] | ||
| 6 | Linear OOA(3211, 129, F3, 2, 105) (dual of [(129, 2), 47, 106]-NRT-code) | [i] | ||
| 7 | Linear OOA(3216, 66, F3, 4, 110) (dual of [(66, 4), 48, 111]-NRT-code) | [i] | OOA Folding | |