Information on Result #698084

Linear OA(4940, 117665, F49, 13) (dual of [117665, 117625, 14]-code), using construction X applied to C([0,6]) ⊂ C([0,4]) based on
  1. 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]
  2. 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]
  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(4940, 100523, F49, 2, 13) (dual of [(100523, 2), 201006, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4940, 100523, F49, 3, 13) (dual of [(100523, 3), 301529, 14]-NRT-code) [i]
3Digital (27, 40, 100523)-net over F49 [i]
4Linear OOA(4940, 58832, F49, 2, 13) (dual of [(58832, 2), 117624, 14]-NRT-code) [i]OOA Folding
5Linear OOA(4940, 39221, F49, 3, 13) (dual of [(39221, 3), 117623, 14]-NRT-code) [i]
6Linear OOA(4940, 19610, F49, 13, 13) (dual of [(19610, 13), 254890, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row