Information on Result #679324

Linear OA(4168, 16412, F4, 31) (dual of [16412, 16244, 32]-code), using construction XX applied to Ce(30) ⊂ Ce(26) ⊂ Ce(25) based on
  1. linear OA(4162, 16384, F4, 31) (dual of [16384, 16222, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(4141, 16384, F4, 27) (dual of [16384, 16243, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  3. 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]
  4. linear OA(45, 27, F4, 3) (dual of [27, 22, 4]-code or 27-cap in PG(4,4)), 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(4168, 11380, F4, 2, 31) (dual of [(11380, 2), 22592, 32]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4168, 11380, F4, 3, 31) (dual of [(11380, 3), 33972, 32]-NRT-code) [i]
3Digital (137, 168, 11380)-net over F4 [i]
4Linear OOA(4168, 8206, F4, 2, 31) (dual of [(8206, 2), 16244, 32]-NRT-code) [i]OOA Folding
5Linear OOA(4168, 1094, F4, 31, 31) (dual of [(1094, 31), 33746, 32]-NRT-code) [i]OOA Folding and Stacking with Additional Row