Information on Result #678088

Linear OA(4128, 1048620, F4, 16) (dual of [1048620, 1048492, 17]-code), using construction X applied to C([0,8]) ⊂ C([0,5]) based on
  1. linear OA(4121, 1048577, F4, 17) (dual of [1048577, 1048456, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  2. linear OA(481, 1048577, F4, 11) (dual of [1048577, 1048496, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
  3. linear OA(47, 43, F4, 4) (dual of [43, 36, 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 OOA(4128, 583274, F4, 2, 16) (dual of [(583274, 2), 1166420, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4128, 583274, F4, 3, 16) (dual of [(583274, 3), 1749694, 17]-NRT-code) [i]
3Digital (112, 128, 583274)-net over F4 [i]
4Linear OOA(4128, 524310, F4, 2, 16) (dual of [(524310, 2), 1048492, 17]-NRT-code) [i]OOA Folding
5Linear OOA(4128, 349540, F4, 3, 16) (dual of [(349540, 3), 1048492, 17]-NRT-code) [i]
6Linear OOA(4128, 131077, F4, 16, 16) (dual of [(131077, 16), 2097104, 17]-NRT-code) [i]OA Folding and Stacking