Information on Result #698086

Linear OA(4928, 117665, F49, 9) (dual of [117665, 117637, 10]-code), using construction X applied to C([0,4]) ⊂ C([0,2]) based on
  1. linear OA(4925, 117650, F49, 9) (dual of [117650, 117625, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
  2. linear OA(4913, 117650, F49, 5) (dual of [117650, 117637, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (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(4928, 117665, F49, 2, 9) (dual of [(117665, 2), 235302, 10]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4928, 117665, F49, 3, 9) (dual of [(117665, 3), 352967, 10]-NRT-code) [i]
3Digital (19, 28, 117665)-net over F49 [i]
4Linear OOA(4928, 58832, F49, 2, 9) (dual of [(58832, 2), 117636, 10]-NRT-code) [i]OOA Folding
5Linear OOA(4928, 39221, F49, 3, 9) (dual of [(39221, 3), 117635, 10]-NRT-code) [i]
6Linear OOA(4928, 29416, F49, 9, 9) (dual of [(29416, 9), 264716, 10]-NRT-code) [i]OOA Folding and Stacking with Additional Row