Information on Result #738078
Linear OA(3160, 168, F3, 101) (dual of [168, 8, 102]-code), using concatenation of two codes based on
- linear OA(938, 42, F9, 33) (dual of [42, 4, 34]-code), using
- 3 times truncation [i] based on linear OA(941, 45, F9, 36) (dual of [45, 4, 37]-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(3159, 167, F3, 100) (dual of [167, 8, 101]-code) | [i] | Truncation | |
| 2 | Linear OA(3158, 166, F3, 99) (dual of [166, 8, 100]-code) | [i] | ||
| 3 | Linear OA(3157, 165, F3, 98) (dual of [165, 8, 99]-code) | [i] | ||
| 4 | Linear OA(3156, 164, F3, 97) (dual of [164, 8, 98]-code) | [i] | ||
| 5 | Linear OA(3155, 163, F3, 96) (dual of [163, 8, 97]-code) | [i] | ||
| 6 | Linear OOA(3160, 84, F3, 2, 101) (dual of [(84, 2), 8, 102]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(3160, 56, F3, 3, 101) (dual of [(56, 3), 8, 102]-NRT-code) | [i] | ||