Information on Result #916101
Linear OOA(3214, 136, F3, 2, 101) (dual of [(136, 2), 58, 102]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(939, 34, F9, 2, 33) (dual of [(34, 2), 29, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,34P) [i] based on function field F/F9 with g(F) = 6 and N(F) ≥ 34, 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(3214, 136, F3, 2, 100) (dual of [(136, 2), 58, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3216, 137, F3, 2, 101) (dual of [(137, 2), 58, 102]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3215, 136, F3, 2, 101) (dual of [(136, 2), 57, 102]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3213, 135, F3, 2, 100) (dual of [(135, 2), 57, 101]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3214, 68, F3, 4, 101) (dual of [(68, 4), 58, 102]-NRT-code) | [i] | OOA Folding | |