Information on Result #669056
Linear OA(4952, 117664, F49, 14) (dual of [117664, 117612, 15]-code), using generalized (u, u+v)-construction based on
- linear OA(493, 5, F49, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,49) or 5-cap in PG(2,49)), using
- discarding factors / shortening the dual code based on linear OA(493, 49, F49, 3) (dual of [49, 46, 4]-code or 49-arc in PG(2,49) or 49-cap in PG(2,49)), using
- Reed–Solomon code RS(46,49) [i]
- discarding factors / shortening the dual code based on linear OA(493, 49, F49, 3) (dual of [49, 46, 4]-code or 49-arc in PG(2,49) or 49-cap in PG(2,49)), using
- linear OA(494, 5, F49, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,49)), using
- dual of repetition code with length 5 [i]
- linear OA(495, 5, F49, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,49)), using
- linear OA(4940, 117649, F49, 14) (dual of [117649, 117609, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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.
Other Results with Identical Parameters
None.
Depending Results
None.