Information on Result #700836
Linear OA(3102, 104, F3, 77) (dual of [104, 2, 78]-code), using the cyclic code C(A) with length 104 | 36−1, defining set A = {0,1,2,4,5,7,8,10,11,13,14,16,17,19,20,23,26,28,29,32,34,52,56,68}, and minimum distance d ≥ |{4,21,38,…,48}|+1 = 78 (BCH-bound)
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3102, 104, F3, 76) (dual of [104, 2, 77]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3102, 104, F3, 75) (dual of [104, 2, 76]-code) | [i] | ||
| 3 | Linear OA(3102, 104, F3, 74) (dual of [104, 2, 75]-code) | [i] | ||
| 4 | Linear OA(3102, 104, F3, 73) (dual of [104, 2, 74]-code) | [i] | ||
| 5 | Linear OA(3102, 104, F3, 72) (dual of [104, 2, 73]-code) | [i] | ||
| 6 | Linear OA(3101, 103, F3, 76) (dual of [103, 2, 77]-code) | [i] | Truncation | |
| 7 | Linear OA(3100, 102, F3, 75) (dual of [102, 2, 76]-code) | [i] | ||
| 8 | Linear OA(399, 101, F3, 74) (dual of [101, 2, 75]-code) | [i] | ||
| 9 | Linear OA(397, 99, F3, 72) (dual of [99, 2, 73]-code) | [i] | ||
| 10 | Linear OA(396, 98, F3, 71) (dual of [98, 2, 72]-code) | [i] | ||
| 11 | Linear OA(395, 97, F3, 70) (dual of [97, 2, 71]-code) | [i] | ||
| 12 | Linear OA(393, 95, F3, 68) (dual of [95, 2, 69]-code) | [i] | ||
| 13 | Linear OA(392, 94, F3, 67) (dual of [94, 2, 68]-code) | [i] | ||
| 14 | Linear OA(391, 93, F3, 66) (dual of [93, 2, 67]-code) | [i] | ||
| 15 | Linear OA(389, 91, F3, 64) (dual of [91, 2, 65]-code) | [i] | ||
| 16 | Linear OA(388, 90, F3, 63) (dual of [90, 2, 64]-code) | [i] | ||
| 17 | Linear OA(387, 89, F3, 62) (dual of [89, 2, 63]-code) | [i] | ||
| 18 | Linear OA(385, 87, F3, 60) (dual of [87, 2, 61]-code) | [i] | ||
| 19 | Linear OA(3118, 126, F3, 74) (dual of [126, 8, 75]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 20 | Linear OA(3112, 118, F3, 74) (dual of [118, 6, 75]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 21 | Linear OOA(3102, 52, F3, 2, 77) (dual of [(52, 2), 2, 78]-NRT-code) | [i] | OOA Folding | |