Information on Result #679960

Linear OA(4152, 4122, F4, 33) (dual of [4122, 3970, 34]-code), using construction XX applied to Ce(32) ⊂ Ce(28) ⊂ Ce(26) based on
  1. linear OA(4145, 4096, F4, 33) (dual of [4096, 3951, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  2. linear OA(4127, 4096, F4, 29) (dual of [4096, 3969, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  3. linear OA(4121, 4096, F4, 27) (dual of [4096, 3975, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
  4. linear OA(45, 24, F4, 3) (dual of [24, 19, 4]-code or 24-cap in PG(4,4)), using
  5. linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-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 OA(4151, 4121, F4, 32) (dual of [4121, 3970, 33]-code) [i]Truncation
2Linear OOA(4152, 3520, F4, 2, 33) (dual of [(3520, 2), 6888, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(4152, 3520, F4, 3, 33) (dual of [(3520, 3), 10408, 34]-NRT-code) [i]
4Digital (119, 152, 3520)-net over F4 [i]
5Linear OOA(4152, 2061, F4, 2, 33) (dual of [(2061, 2), 3970, 34]-NRT-code) [i]OOA Folding
6Linear OOA(4152, 1374, F4, 3, 33) (dual of [(1374, 3), 3970, 34]-NRT-code) [i]