Information on Result #1030620
Linear OOA(3200, 76, F3, 3, 125) (dual of [(76, 3), 28, 126]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(943, 19, F9, 3, 41) (dual of [(19, 3), 14, 42]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(943, 20, F9, 3, 41) (dual of [(20, 3), 17, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,18P) [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(943, 20, F9, 3, 41) (dual of [(20, 3), 17, 42]-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(3200, 76, F3, 3, 124) (dual of [(76, 3), 28, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3200, 76, F3, 3, 123) (dual of [(76, 3), 28, 124]-NRT-code) | [i] | ||
| 3 | Linear OOA(3200, 76, F3, 3, 122) (dual of [(76, 3), 28, 123]-NRT-code) | [i] | ||
| 4 | Linear OOA(3200, 76, F3, 3, 121) (dual of [(76, 3), 28, 122]-NRT-code) | [i] | ||
| 5 | Linear OOA(3201, 76, F3, 3, 125) (dual of [(76, 3), 27, 126]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3199, 75, F3, 3, 124) (dual of [(75, 3), 26, 125]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3198, 75, F3, 3, 123) (dual of [(75, 3), 27, 124]-NRT-code) | [i] | ||
| 8 | Linear OOA(3197, 75, F3, 3, 122) (dual of [(75, 3), 28, 123]-NRT-code) | [i] | ||
| 9 | Linear OOA(3196, 74, F3, 3, 121) (dual of [(74, 3), 26, 122]-NRT-code) | [i] | ||
| 10 | Linear OOA(3195, 74, F3, 3, 120) (dual of [(74, 3), 27, 121]-NRT-code) | [i] | ||
| 11 | Linear OOA(3194, 74, F3, 3, 119) (dual of [(74, 3), 28, 120]-NRT-code) | [i] | ||
| 12 | Linear OOA(3193, 73, F3, 3, 118) (dual of [(73, 3), 26, 119]-NRT-code) | [i] | ||
| 13 | Linear OOA(3192, 73, F3, 3, 117) (dual of [(73, 3), 27, 118]-NRT-code) | [i] | ||
| 14 | Linear OOA(3191, 73, F3, 3, 116) (dual of [(73, 3), 28, 117]-NRT-code) | [i] | ||
| 15 | Linear OOA(3189, 72, F3, 3, 114) (dual of [(72, 3), 27, 115]-NRT-code) | [i] | ||