Information on Result #677812
Linear OA(322, 26, F3, 16) (dual of [26, 4, 17]-code), using contraction based on linear OA(348, 52, F3, 33) (dual of [52, 4, 34]-code), using the narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
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(3151, 754, F3, 33) (dual of [754, 603, 34]-code) | [i] | (u, u+v)-Construction | |
2 | Linear OA(3146, 755, F3, 32) (dual of [755, 609, 33]-code) | [i] | ||
3 | Linear OA(323, 30, F3, 15) (dual of [30, 7, 16]-code) | [i] | ✔ | Construction X with Cyclic Codes |
4 | Linear OA(326, 34, F3, 16) (dual of [34, 8, 17]-code) | [i] | ✔ | |
5 | Linear OA(327, 35, F3, 17) (dual of [35, 8, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
6 | Linear OA(326, 33, F3, 17) (dual of [33, 7, 18]-code) | [i] | ✔ | |
7 | Linear OA(324, 31, F3, 16) (dual of [31, 7, 17]-code) | [i] | ✔ | |
8 | Linear OA(325, 31, F3, 17) (dual of [31, 6, 18]-code) | [i] | ✔ | |
9 | Linear OA(324, 32, F3, 15) (dual of [32, 8, 16]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
10 | Linear OA(3227, 263, F3, 111) (dual of [263, 36, 112]-code) | [i] | Construction X with Varšamov Bound | |
11 | Linear OA(3227, 262, F3, 112) (dual of [262, 35, 113]-code) | [i] | ||
12 | Linear OA(3228, 264, F3, 112) (dual of [264, 36, 113]-code) | [i] | ||
13 | Linear OA(3228, 263, F3, 113) (dual of [263, 35, 114]-code) | [i] | ||
14 | Linear OOA(322, 13, F3, 2, 16) (dual of [(13, 2), 4, 17]-NRT-code) | [i] | OOA Folding | |
15 | Linear OOA(322, 8, F3, 3, 16) (dual of [(8, 3), 2, 17]-NRT-code) | [i] |