Information on Result #669298
Linear OA(4937, 117703, F49, 11) (dual of [117703, 117666, 12]-code), using (u, u+v)-construction based on
- linear OA(496, 53, F49, 5) (dual of [53, 47, 6]-code), using
- construction for [s, s−6, 6]-code from [s, 3, s−3]-code [i] based on linear OA(4950, 53, F49, 49) (dual of [53, 3, 50]-code), using
- construction X applied to C1 ⊂ C0 [i] based on
- linear OA(4949, 50, F49, 49) (dual of [50, 1, 50]-code or 50-arc in PG(48,49)), using code C1 for u = 2 by de Boer and Brouwer [i]
- linear OA(4947, 50, F49, 47) (dual of [50, 3, 48]-code or 50-arc in PG(46,49)), using code C0 for u = 2 by de Boer and Brouwer [i]
- linear OA(491, 3, F49, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C1 ⊂ C0 [i] based on
- construction for [s, s−6, 6]-code from [s, 3, s−3]-code [i] based on linear OA(4950, 53, F49, 49) (dual of [53, 3, 50]-code), using
- linear OA(4931, 117650, F49, 11) (dual of [117650, 117619, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [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.