Information on Result #678579

Linear OA(4155, 65579, F4, 25) (dual of [65579, 65424, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
  1. linear OA(4145, 65537, F4, 25) (dual of [65537, 65392, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  2. linear OA(4113, 65537, F4, 19) (dual of [65537, 65424, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  3. linear OA(410, 42, F4, 5) (dual of [42, 32, 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(4156, 65580, F4, 25) (dual of [65580, 65424, 26]-code) [i]Code Embedding in Larger Space
2Linear OA(4157, 65581, F4, 25) (dual of [65581, 65424, 26]-code) [i]
3Linear OA(4154, 65578, F4, 24) (dual of [65578, 65424, 25]-code) [i]Truncation
4Linear OOA(4155, 33751, F4, 2, 25) (dual of [(33751, 2), 67347, 26]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(4155, 33751, F4, 3, 25) (dual of [(33751, 3), 101098, 26]-NRT-code) [i]
6Digital (130, 155, 33751)-net over F4 [i]
7Linear OOA(4155, 32789, F4, 2, 25) (dual of [(32789, 2), 65423, 26]-NRT-code) [i]OOA Folding
8Linear OOA(4155, 21859, F4, 3, 25) (dual of [(21859, 3), 65422, 26]-NRT-code) [i]