Information on Result #1323760

Linear OA(4200, 16447, F4, 35) (dual of [16447, 16247, 36]-code), using construction X applied to Ce(34) ⊂ Ce(25) based on
  1. linear OA(4183, 16384, F4, 35) (dual of [16384, 16201, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(4134, 16384, F4, 26) (dual of [16384, 16250, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(417, 63, F4, 8) (dual of [63, 46, 9]-code), using

Mode: 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(4200, 16447, F4, 2, 35) (dual of [(16447, 2), 32694, 36]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4200, 16447, F4, 3, 35) (dual of [(16447, 3), 49141, 36]-NRT-code) [i]
3Digital (165, 200, 16447)-net over F4 [i]
4Linear OOA(4200, 8223, F4, 2, 35) (dual of [(8223, 2), 16246, 36]-NRT-code) [i]OOA Folding