Information on Result #679204

Linear OA(4119, 16432, F4, 21) (dual of [16432, 16313, 22]-code), using construction X applied to Ce(20) ⊂ Ce(13) based on
  1. linear OA(4106, 16384, F4, 21) (dual of [16384, 16278, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(471, 16384, F4, 14) (dual of [16384, 16313, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(413, 48, F4, 6) (dual of [48, 35, 7]-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(4120, 16433, F4, 21) (dual of [16433, 16313, 22]-code) [i]Code Embedding in Larger Space
2Linear OA(4118, 16431, F4, 20) (dual of [16431, 16313, 21]-code) [i]Truncation
3Linear OOA(4119, 14480, F4, 2, 21) (dual of [(14480, 2), 28841, 22]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(4119, 14480, F4, 3, 21) (dual of [(14480, 3), 43321, 22]-NRT-code) [i]
5Digital (98, 119, 14480)-net over F4 [i]
6Linear OOA(4119, 8216, F4, 2, 21) (dual of [(8216, 2), 16313, 22]-NRT-code) [i]OOA Folding
7Linear OOA(4119, 5477, F4, 3, 21) (dual of [(5477, 3), 16312, 22]-NRT-code) [i]
8Linear OOA(4119, 1643, F4, 21, 21) (dual of [(1643, 21), 34384, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row