Information on Result #738092
Linear OA(3196, 204, F3, 125) (dual of [204, 8, 126]-code), using concatenation of two codes based on
- linear OA(947, 51, F9, 41) (dual of [51, 4, 42]-code), using
- 4 times truncation [i] based on linear OA(951, 55, F9, 45) (dual of [55, 4, 46]-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.
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(3196, 204, F3, 124) (dual of [204, 8, 125]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3195, 203, F3, 124) (dual of [203, 8, 125]-code) | [i] | Truncation | |
| 3 | Linear OA(3194, 202, F3, 123) (dual of [202, 8, 124]-code) | [i] | ||
| 4 | Linear OA(3193, 201, F3, 122) (dual of [201, 8, 123]-code) | [i] | ||
| 5 | Linear OA(3191, 199, F3, 120) (dual of [199, 8, 121]-code) | [i] | ||
| 6 | Linear OOA(3196, 102, F3, 2, 125) (dual of [(102, 2), 8, 126]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3196, 68, F3, 3, 125) (dual of [(68, 3), 8, 126]-NRT-code) | [i] | ||