Information on Result #663429
Linear OA(835, 40, F8, 27) (dual of [40, 5, 28]-code), using generalized (u, u+v)-construction based on
- linear OA(83, 5, F8, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,8) or 5-cap in PG(2,8)), using
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
- Reed–Solomon code RS(5,8) [i]
- discarding factors / shortening the dual code based on linear OA(83, 8, F8, 3) (dual of [8, 5, 4]-code or 8-arc in PG(2,8) or 8-cap in PG(2,8)), using
- linear OA(83, 5, F8, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,8) or 5-cap in PG(2,8)) (see above)
- linear OA(84, 5, F8, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,8)), using
- dual of repetition code with length 5 [i]
- linear OA(85, 5, F8, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,8)), using
- linear OA(85, 5, F8, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,8)) (see above)
- linear OA(85, 5, F8, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,8)) (see above)
- linear OA(85, 5, F8, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,8)) (see above)
- linear OA(85, 5, F8, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,8)) (see above)
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
None.