Information on Result #679144

Linear OA(469, 16410, F4, 13) (dual of [16410, 16341, 14]-code), using construction X applied to Ce(12) ⊂ Ce(8) based on
  1. linear OA(464, 16384, F4, 13) (dual of [16384, 16320, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(443, 16384, F4, 9) (dual of [16384, 16341, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. linear OA(45, 26, F4, 3) (dual of [26, 21, 4]-code or 26-cap in PG(4,4)), 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(469, 16410, F4, 12) (dual of [16410, 16341, 13]-code) [i]Strength Reduction
2Linear OA(470, 16411, F4, 13) (dual of [16411, 16341, 14]-code) [i]Code Embedding in Larger Space
3Linear OA(468, 16409, F4, 12) (dual of [16409, 16341, 13]-code) [i]Truncation
4Linear OOA(469, 8616, F4, 2, 13) (dual of [(8616, 2), 17163, 14]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(469, 8616, F4, 3, 13) (dual of [(8616, 3), 25779, 14]-NRT-code) [i]
6Digital (56, 69, 8616)-net over F4 [i]
7Linear OOA(469, 8205, F4, 2, 13) (dual of [(8205, 2), 16341, 14]-NRT-code) [i]OOA Folding
8Linear OOA(469, 5470, F4, 3, 13) (dual of [(5470, 3), 16341, 14]-NRT-code) [i]
9Linear OOA(469, 2734, F4, 13, 13) (dual of [(2734, 13), 35473, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row