Information on Result #700705
Linear OA(313, 80, F3, 5) (dual of [80, 67, 6]-code), using the primitive cyclic code C(A) with length 80 = 34−1, defining set A = {0,1,2,53}, and minimum distance d ≥ |{−1,0,1,2,3}|+1 = 6 (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
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3238, 4783039, F3, 25) (dual of [4783039, 4782801, 26]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(3248, 1594389, F3, 27) (dual of [1594389, 1594141, 28]-code) | [i] | ||
| 3 | Linear OA(3222, 1594389, F3, 25) (dual of [1594389, 1594167, 26]-code) | [i] | ||
| 4 | Linear OA(3230, 531503, F3, 27) (dual of [531503, 531273, 28]-code) | [i] | ||
| 5 | Linear OA(3206, 531503, F3, 25) (dual of [531503, 531297, 26]-code) | [i] | ||
| 6 | Linear OA(317, 88, F3, 6) (dual of [88, 71, 7]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3224, 4783038, F3, 23) (dual of [4783038, 4782814, 24]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 8 | Linear OA(3210, 4783038, F3, 22) (dual of [4783038, 4782828, 23]-code) | [i] | ||
| 9 | Linear OA(3248, 1594388, F3, 28) (dual of [1594388, 1594140, 29]-code) | [i] | ||
| 10 | Linear OA(3235, 1594388, F3, 26) (dual of [1594388, 1594153, 27]-code) | [i] | ||
| 11 | Linear OA(3209, 1594388, F3, 23) (dual of [1594388, 1594179, 24]-code) | [i] | ||
| 12 | Linear OA(3196, 1594388, F3, 22) (dual of [1594388, 1594192, 23]-code) | [i] | ||
| 13 | Linear OA(3242, 531502, F3, 29) (dual of [531502, 531260, 30]-code) | [i] | ||
| 14 | Linear OA(3230, 531502, F3, 28) (dual of [531502, 531272, 29]-code) | [i] | ||
| 15 | Linear OA(3218, 531502, F3, 26) (dual of [531502, 531284, 27]-code) | [i] | ||
| 16 | Linear OA(3194, 531502, F3, 23) (dual of [531502, 531308, 24]-code) | [i] | ||
| 17 | Linear OA(3182, 531502, F3, 22) (dual of [531502, 531320, 23]-code) | [i] | ||