Information on Result #701583
Linear OA(873, 83, F8, 53) (dual of [83, 10, 54]-code), using construction X applied to C({1,2,4,5,6,7,9,11,12,13,14,17,18,21,25,26,33,34,35,36,42,43}) ⊂ C({1,2,4,5,6,7,9,11,12,13,14,17,18,21,25,26,33,34,35,36,42}) based on
- linear OA(866, 73, F8, 54) (dual of [73, 7, 55]-code), using the cyclic code C(A) with length 73 | 83−1, defining set A = {1,2,4,5,6,7,9,11,12,13,14,17,18,21,25,26,33,34,35,36,42,43}, and minimum distance d ≥ |{30,33,36,…,−30}|+1 = 55 (BCH-bound) [i]
- linear OA(863, 73, F8, 45) (dual of [73, 10, 46]-code), using the cyclic code C(A) with length 73 | 83−1, defining set A = {1,2,4,5,6,7,9,11,12,13,14,17,18,21,25,26,33,34,35,36,42}, and minimum distance d ≥ |{−19,−16,−13,…,−33}|+1 = 46 (BCH-bound) [i]
- linear OA(87, 10, F8, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
- Denniston code D(1,8) [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(872, 82, F8, 52) (dual of [82, 10, 53]-code) | [i] | Truncation | |