Information on Result #700753
Linear OA(331, 80, F3, 13) (dual of [80, 49, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 14
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(3248, 809, F3, 57) (dual of [809, 561, 58]-code) | [i] | Construction X with Cyclic Codes | |
2 | Linear OA(3242, 807, F3, 55) (dual of [807, 565, 56]-code) | [i] | ||
3 | Linear OA(336, 89, F3, 14) (dual of [89, 53, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
4 | Linear OA(345, 100, F3, 16) (dual of [100, 55, 17]-code) | [i] | ✔ | |
5 | Linear OA(343, 96, F3, 16) (dual of [96, 53, 17]-code) | [i] | ✔ | |
6 | Linear OA(341, 94, F3, 15) (dual of [94, 53, 16]-code) | [i] | ✔ | |
7 | Linear OA(339, 88, F3, 15) (dual of [88, 49, 16]-code) | [i] | ✔ | |
8 | Linear OA(346, 95, F3, 17) (dual of [95, 49, 18]-code) | [i] | ✔ | |
9 | Linear OA(351, 100, F3, 18) (dual of [100, 49, 19]-code) | [i] | ✔ | |
10 | Linear OA(3248, 805, F3, 58) (dual of [805, 557, 59]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
11 | Linear OOA(331, 40, F3, 2, 13) (dual of [(40, 2), 49, 14]-NRT-code) | [i] | OOA Folding |