Information on Result #698083

Linear OA(4946, 117665, F49, 15) (dual of [117665, 117619, 16]-code), using construction X applied to C([0,7]) ⊂ C([0,5]) based on
  1. linear OA(4943, 117650, F49, 15) (dual of [117650, 117607, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
  2. 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]
  3. linear OA(493, 15, F49, 3) (dual of [15, 12, 4]-code or 15-arc in PG(2,49) or 15-cap in PG(2,49)), using

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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(4946, 83717, F49, 2, 15) (dual of [(83717, 2), 167388, 16]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4946, 83717, F49, 3, 15) (dual of [(83717, 3), 251105, 16]-NRT-code) [i]
3Digital (31, 46, 83717)-net over F49 [i]
4Linear OOA(4946, 58832, F49, 2, 15) (dual of [(58832, 2), 117618, 16]-NRT-code) [i]OOA Folding
5Linear OOA(4946, 39221, F49, 3, 15) (dual of [(39221, 3), 117617, 16]-NRT-code) [i]
6Linear OOA(4946, 16809, F49, 15, 15) (dual of [(16809, 15), 252089, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row