Information on Result #679168

Linear OA(4127, 16419, F4, 23) (dual of [16419, 16292, 24]-code), using construction X applied to Ce(22) ⊂ Ce(17) based on
  1. linear OA(4120, 16384, F4, 23) (dual of [16384, 16264, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(492, 16384, F4, 18) (dual of [16384, 16292, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  3. linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-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(4128, 16420, F4, 23) (dual of [16420, 16292, 24]-code) [i]Code Embedding in Larger Space
2Linear OA(4129, 16421, F4, 23) (dual of [16421, 16292, 24]-code) [i]
3Linear OOA(4127, 11834, F4, 2, 23) (dual of [(11834, 2), 23541, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(4127, 11834, F4, 3, 23) (dual of [(11834, 3), 35375, 24]-NRT-code) [i]
5Digital (104, 127, 11834)-net over F4 [i]
6Linear OA(4129, 16422, F4, 23) (dual of [16422, 16293, 24]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OOA(4127, 8209, F4, 2, 23) (dual of [(8209, 2), 16291, 24]-NRT-code) [i]OOA Folding
8Linear OOA(4127, 5473, F4, 3, 23) (dual of [(5473, 3), 16292, 24]-NRT-code) [i]
9Linear OOA(4127, 1492, F4, 23, 23) (dual of [(1492, 23), 34189, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row