Information on Result #680008

Linear OA(480, 4122, F4, 17) (dual of [4122, 4042, 18]-code), using construction XX applied to Ce(16) ⊂ Ce(12) ⊂ Ce(10) based on
  1. linear OA(473, 4096, F4, 17) (dual of [4096, 4023, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(455, 4096, F4, 13) (dual of [4096, 4041, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  3. linear OA(449, 4096, F4, 11) (dual of [4096, 4047, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(479, 4121, F4, 16) (dual of [4121, 4042, 17]-code) [i]Truncation
2Linear OOA(480, 3162, F4, 2, 17) (dual of [(3162, 2), 6244, 18]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(480, 3162, F4, 3, 17) (dual of [(3162, 3), 9406, 18]-NRT-code) [i]
4Digital (63, 80, 3162)-net over F4 [i]
5Linear OOA(480, 2061, F4, 2, 17) (dual of [(2061, 2), 4042, 18]-NRT-code) [i]OOA Folding
6Linear OOA(480, 1374, F4, 3, 17) (dual of [(1374, 3), 4042, 18]-NRT-code) [i]