Information on Result #689272

Linear OA(992, 59061, F9, 21) (dual of [59061, 58969, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,9]) based on
  1. linear OA(991, 59050, F9, 21) (dual of [59050, 58959, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
  2. linear OA(981, 59050, F9, 19) (dual of [59050, 58969, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  3. linear OA(91, 11, F9, 1) (dual of [11, 10, 2]-code), 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 OA(993, 59062, F9, 21) (dual of [59062, 58969, 22]-code) [i]Code Embedding in Larger Space
2Linear OA(994, 59063, F9, 21) (dual of [59063, 58969, 22]-code) [i]
3Linear OOA(992, 36840, F9, 2, 21) (dual of [(36840, 2), 73588, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(992, 36840, F9, 3, 21) (dual of [(36840, 3), 110428, 22]-NRT-code) [i]
5Digital (71, 92, 36840)-net over F9 [i]
6Linear OA(994, 59064, F9, 21) (dual of [59064, 58970, 22]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OOA(992, 29530, F9, 2, 21) (dual of [(29530, 2), 58968, 22]-NRT-code) [i]OOA Folding
8Linear OOA(992, 19687, F9, 3, 21) (dual of [(19687, 3), 58969, 22]-NRT-code) [i]
9Linear OOA(992, 5906, F9, 21, 21) (dual of [(5906, 21), 123934, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row