Information on Result #698085

Linear OA(4934, 117665, F49, 11) (dual of [117665, 117631, 12]-code), using construction X applied to C([0,5]) ⊂ C([0,3]) based on
  1. 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]
  2. linear OA(4919, 117650, F49, 7) (dual of [117650, 117631, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(4934, 117665, F49, 2, 11) (dual of [(117665, 2), 235296, 12]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4934, 117665, F49, 3, 11) (dual of [(117665, 3), 352961, 12]-NRT-code) [i]
3Digital (23, 34, 117665)-net over F49 [i]
4Linear OOA(4934, 58832, F49, 2, 11) (dual of [(58832, 2), 117630, 12]-NRT-code) [i]OOA Folding
5Linear OOA(4934, 39221, F49, 3, 11) (dual of [(39221, 3), 117629, 12]-NRT-code) [i]
6Linear OOA(4934, 23532, F49, 11, 11) (dual of [(23532, 11), 258818, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row