Information on Result #678237

Linear OA(498, 1048619, F4, 12) (dual of [1048619, 1048521, 13]-code), using construction X applied to Ce(12) ⊂ Ce(6) based on
  1. linear OA(491, 1048576, F4, 13) (dual of [1048576, 1048485, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(451, 1048576, F4, 7) (dual of [1048576, 1048525, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(498, 1044321, F4, 2, 12) (dual of [(1044321, 2), 2088544, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(498, 1044321, F4, 3, 12) (dual of [(1044321, 3), 3132865, 13]-NRT-code) [i]
3Digital (86, 98, 1044321)-net over F4 [i]
4Linear OOA(498, 524309, F4, 2, 12) (dual of [(524309, 2), 1048520, 13]-NRT-code) [i]OOA Folding
5Linear OOA(498, 349539, F4, 3, 12) (dual of [(349539, 3), 1048519, 13]-NRT-code) [i]
6Linear OOA(498, 174769, F4, 12, 12) (dual of [(174769, 12), 2097130, 13]-NRT-code) [i]OA Folding and Stacking