Information on Result #678755

Linear OA(4203, 65586, F4, 32) (dual of [65586, 65383, 33]-code), using construction X applied to Ce(32) ⊂ Ce(25) based on
  1. linear OA(4193, 65536, F4, 33) (dual of [65536, 65343, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  2. linear OA(4153, 65536, F4, 26) (dual of [65536, 65383, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(410, 50, F4, 5) (dual of [50, 40, 6]-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(4204, 65587, F4, 32) (dual of [65587, 65383, 33]-code) [i]Code Embedding in Larger Space
2Linear OOA(4203, 45426, F4, 2, 32) (dual of [(45426, 2), 90649, 33]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
3Linear OOA(4203, 45426, F4, 3, 32) (dual of [(45426, 3), 136075, 33]-NRT-code) [i]
4Digital (171, 203, 45426)-net over F4 [i]
5Linear OOA(4203, 32793, F4, 2, 32) (dual of [(32793, 2), 65383, 33]-NRT-code) [i]OOA Folding
6Linear OOA(4203, 21862, F4, 3, 32) (dual of [(21862, 3), 65383, 33]-NRT-code) [i]
7Linear OOA(4203, 4099, F4, 32, 32) (dual of [(4099, 32), 130965, 33]-NRT-code) [i]OA Folding and Stacking