Information on Result #689033

Linear OA(9144, 4782993, F9, 23) (dual of [4782993, 4782849, 24]-code), using construction X applied to Ce(22) ⊂ Ce(19) based on
  1. linear OA(9141, 4782969, F9, 23) (dual of [4782969, 4782828, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(9120, 4782969, F9, 20) (dual of [4782969, 4782849, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
  3. linear OA(93, 24, F9, 2) (dual of [24, 21, 3]-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 OOA(9144, 3414587, F9, 2, 23) (dual of [(3414587, 2), 6829030, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9144, 3414587, F9, 3, 23) (dual of [(3414587, 3), 10243617, 24]-NRT-code) [i]
3Digital (121, 144, 3414587)-net over F9 [i]
4Linear OOA(9144, 2391496, F9, 2, 23) (dual of [(2391496, 2), 4782848, 24]-NRT-code) [i]OOA Folding
5Linear OOA(9144, 1594331, F9, 3, 23) (dual of [(1594331, 3), 4782849, 24]-NRT-code) [i]
6Linear OOA(9144, 434817, F9, 23, 23) (dual of [(434817, 23), 10000647, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row