Information on Result #610365
Linear OA(3106, 108, F3, 80) (dual of [108, 2, 81]-code), using repeating each code word 27 times based on 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(3106, 108, F3, 79) (dual of [108, 2, 80]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3106, 108, F3, 78) (dual of [108, 2, 79]-code) | [i] | ||
| 3 | Linear OA(3106, 108, F3, 77) (dual of [108, 2, 78]-code) | [i] | ||
| 4 | Linear OA(3106, 108, F3, 76) (dual of [108, 2, 77]-code) | [i] | ||
| 5 | Linear OA(3106, 108, F3, 75) (dual of [108, 2, 76]-code) | [i] | ||
| 6 | Linear OA(3105, 107, F3, 79) (dual of [107, 2, 80]-code) | [i] | Truncation | |
| 7 | Linear OA(3104, 106, F3, 78) (dual of [106, 2, 79]-code) | [i] | ||
| 8 | Linear OA(3103, 105, F3, 77) (dual of [105, 2, 78]-code) | [i] | ||
| 9 | Linear OA(3101, 103, F3, 75) (dual of [103, 2, 76]-code) | [i] | ||
| 10 | Linear OA(3100, 102, F3, 74) (dual of [102, 2, 75]-code) | [i] | ||
| 11 | Linear OA(399, 101, F3, 73) (dual of [101, 2, 74]-code) | [i] | ||
| 12 | Linear OA(397, 99, F3, 71) (dual of [99, 2, 72]-code) | [i] | ||
| 13 | Linear OA(396, 98, F3, 70) (dual of [98, 2, 71]-code) | [i] | ||
| 14 | Linear OA(395, 97, F3, 69) (dual of [97, 2, 70]-code) | [i] | ||
| 15 | Linear OA(393, 95, F3, 67) (dual of [95, 2, 68]-code) | [i] | ||
| 16 | Linear OA(392, 94, F3, 66) (dual of [94, 2, 67]-code) | [i] | ||
| 17 | Linear OA(391, 93, F3, 65) (dual of [93, 2, 66]-code) | [i] | ||
| 18 | Linear OA(389, 91, F3, 63) (dual of [91, 2, 64]-code) | [i] | ||
| 19 | Linear OOA(3106, 54, F3, 2, 80) (dual of [(54, 2), 2, 81]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(3106, 36, F3, 3, 80) (dual of [(36, 3), 2, 81]-NRT-code) | [i] | ||