Information on Result #1030591
Linear OOA(3172, 68, F3, 3, 101) (dual of [(68, 3), 32, 102]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(935, 17, F9, 3, 33) (dual of [(17, 3), 16, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(935, 20, F9, 3, 33) (dual of [(20, 3), 25, 34]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,26P) [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- discarding factors / shortening the dual code based on linear OOA(935, 20, F9, 3, 33) (dual of [(20, 3), 25, 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, 68, F3, 3, 100) (dual of [(68, 3), 32, 101]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3172, 68, F3, 3, 99) (dual of [(68, 3), 32, 100]-NRT-code) | [i] | ||
| 3 | Linear OOA(3172, 68, F3, 3, 98) (dual of [(68, 3), 32, 99]-NRT-code) | [i] | ||
| 4 | Linear OOA(3173, 68, F3, 3, 101) (dual of [(68, 3), 31, 102]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3171, 67, F3, 3, 100) (dual of [(67, 3), 30, 101]-NRT-code) | [i] | Truncation for OOAs | |
| 6 | Linear OOA(3170, 67, F3, 3, 99) (dual of [(67, 3), 31, 100]-NRT-code) | [i] | ||
| 7 | Linear OOA(3169, 67, F3, 3, 98) (dual of [(67, 3), 32, 99]-NRT-code) | [i] | ||
| 8 | Linear OOA(3167, 66, F3, 3, 96) (dual of [(66, 3), 31, 97]-NRT-code) | [i] | ||
| 9 | Linear OOA(3165, 65, F3, 3, 94) (dual of [(65, 3), 30, 95]-NRT-code) | [i] | ||