Information on Result #698082

Linear OA(4952, 117665, F49, 17) (dual of [117665, 117613, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,6]) based on
  1. linear OA(4949, 117650, F49, 17) (dual of [117650, 117601, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  2. linear OA(4937, 117650, F49, 13) (dual of [117650, 117613, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(4952, 74671, F49, 2, 17) (dual of [(74671, 2), 149290, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4952, 74671, F49, 3, 17) (dual of [(74671, 3), 223961, 18]-NRT-code) [i]
3Digital (35, 52, 74671)-net over F49 [i]
4Linear OOA(4952, 58832, F49, 2, 17) (dual of [(58832, 2), 117612, 18]-NRT-code) [i]OOA Folding
5Linear OOA(4952, 39221, F49, 3, 17) (dual of [(39221, 3), 117611, 18]-NRT-code) [i]
6Linear OOA(4952, 14708, F49, 17, 17) (dual of [(14708, 17), 249984, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row