Information on Result #1030625
Linear OOA(3196, 72, F3, 3, 128) (dual of [(72, 3), 20, 129]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(944, 18, F9, 3, 42) (dual of [(18, 3), 10, 43]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(944, 20, F9, 3, 42) (dual of [(20, 3), 16, 43]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,17P) [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(944, 20, F9, 3, 42) (dual of [(20, 3), 16, 43]-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(3196, 72, F3, 3, 127) (dual of [(72, 3), 20, 128]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3196, 72, F3, 3, 126) (dual of [(72, 3), 20, 127]-NRT-code) | [i] | ||
| 3 | Linear OOA(3197, 72, F3, 3, 128) (dual of [(72, 3), 19, 129]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3195, 71, F3, 3, 127) (dual of [(71, 3), 18, 128]-NRT-code) | [i] | Truncation for OOAs | |
| 5 | Linear OOA(3194, 71, F3, 3, 126) (dual of [(71, 3), 19, 127]-NRT-code) | [i] | ||
| 6 | Linear OOA(3193, 71, F3, 3, 125) (dual of [(71, 3), 20, 126]-NRT-code) | [i] | ||
| 7 | Linear OOA(3192, 70, F3, 3, 124) (dual of [(70, 3), 18, 125]-NRT-code) | [i] | ||
| 8 | Linear OOA(3191, 70, F3, 3, 123) (dual of [(70, 3), 19, 124]-NRT-code) | [i] | ||
| 9 | Linear OOA(3190, 70, F3, 3, 122) (dual of [(70, 3), 20, 123]-NRT-code) | [i] | ||