Information on Result #679353

Linear OA(4108, 16401, F4, 20) (dual of [16401, 16293, 21]-code), using construction XX applied to Ce(20) ⊂ Ce(17) ⊂ Ce(16) 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(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(485, 16384, F4, 17) (dual of [16384, 16299, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  4. linear OA(41, 16, F4, 1) (dual of [16, 15, 2]-code), using
  5. linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-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(4108, 9534, F4, 2, 20) (dual of [(9534, 2), 18960, 21]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4108, 9534, F4, 3, 20) (dual of [(9534, 3), 28494, 21]-NRT-code) [i]
3Digital (88, 108, 9534)-net over F4 [i]
4Linear OOA(4108, 8200, F4, 2, 20) (dual of [(8200, 2), 16292, 21]-NRT-code) [i]OOA Folding
5Linear OOA(4108, 5467, F4, 3, 20) (dual of [(5467, 3), 16293, 21]-NRT-code) [i]
6Linear OOA(4108, 1640, F4, 20, 20) (dual of [(1640, 20), 32692, 21]-NRT-code) [i]OA Folding and Stacking