Information on Result #689459

Linear OA(998, 59081, F9, 21) (dual of [59081, 58983, 22]-code), using construction X applied to Ce(20) ⊂ Ce(14) based on
  1. linear OA(991, 59049, F9, 21) (dual of [59049, 58958, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(966, 59049, F9, 15) (dual of [59049, 58983, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  3. linear OA(97, 32, F9, 5) (dual of [32, 25, 6]-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(999, 59082, F9, 21) (dual of [59082, 58983, 22]-code) [i]Code Embedding in Larger Space
2Linear OA(9100, 59083, F9, 21) (dual of [59083, 58983, 22]-code) [i]
3Linear OOA(998, 59081, F9, 2, 21) (dual of [(59081, 2), 118064, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(998, 59081, F9, 3, 21) (dual of [(59081, 3), 177145, 22]-NRT-code) [i]
5Digital (77, 98, 59081)-net over F9 [i]
6Linear OA(999, 59083, F9, 21) (dual of [59083, 58984, 22]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OOA(998, 29540, F9, 2, 21) (dual of [(29540, 2), 58982, 22]-NRT-code) [i]OOA Folding
8Linear OOA(998, 19693, F9, 3, 21) (dual of [(19693, 3), 58981, 22]-NRT-code) [i]
9Linear OOA(998, 5908, F9, 21, 21) (dual of [(5908, 21), 123970, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row