Information on Result #631114
Linear OA(330, 36, F3, 20) (dual of [36, 6, 21]-code), using concatenation of two codes based on
- linear OA(96, 9, F9, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,9)), using
- Reed–Solomon code RS(3,9) [i]
- 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(330, 36, F3, 19) (dual of [36, 6, 20]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(329, 35, F3, 19) (dual of [35, 6, 20]-code) | [i] | Truncation | |
| 3 | Linear OA(3109, 116, F3, 70) (dual of [116, 7, 71]-code) | [i] | Construction X with Cyclic Codes | |
| 4 | Linear OA(3112, 118, F3, 73) (dual of [118, 6, 74]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 5 | Linear OA(3110, 117, F3, 71) (dual of [117, 7, 72]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 6 | Linear OA(3198, 205, F3, 127) (dual of [205, 7, 128]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 7 | Linear OA(3113, 119, F3, 74) (dual of [119, 6, 75]-code) | [i] | ||
| 8 | Linear OA(3243, 281, F3, 117) (dual of [281, 38, 118]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OA(3243, 280, F3, 118) (dual of [280, 37, 119]-code) | [i] | ||
| 10 | Linear OA(3244, 282, F3, 118) (dual of [282, 38, 119]-code) | [i] | ||
| 11 | Linear OA(3244, 281, F3, 119) (dual of [281, 37, 120]-code) | [i] | ||
| 12 | Linear OA(3246, 284, F3, 119) (dual of [284, 38, 120]-code) | [i] | ||
| 13 | Linear OA(3246, 283, F3, 120) (dual of [283, 37, 121]-code) | [i] | ||
| 14 | Linear OA(3247, 285, F3, 120) (dual of [285, 38, 121]-code) | [i] | ||
| 15 | Linear OA(3247, 284, F3, 121) (dual of [284, 37, 122]-code) | [i] | ||
| 16 | Linear OOA(330, 18, F3, 2, 20) (dual of [(18, 2), 6, 21]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(330, 12, F3, 3, 20) (dual of [(12, 3), 6, 21]-NRT-code) | [i] | ||