Information on Result #678434

Linear OA(487, 262176, F4, 13) (dual of [262176, 262089, 14]-code), using construction X applied to Ce(12) ⊂ Ce(8) based on
  1. linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(455, 262144, F4, 9) (dual of [262144, 262089, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. linear OA(45, 32, F4, 3) (dual of [32, 27, 4]-code or 32-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(487, 262176, F4, 12) (dual of [262176, 262089, 13]-code) [i]Strength Reduction
2Linear OA(488, 262177, F4, 13) (dual of [262177, 262089, 14]-code) [i]Code Embedding in Larger Space
3Linear OA(489, 262178, F4, 13) (dual of [262178, 262089, 14]-code) [i]
4Linear OA(490, 262179, F4, 13) (dual of [262179, 262089, 14]-code) [i]
5Linear OA(486, 262175, F4, 12) (dual of [262175, 262089, 13]-code) [i]Truncation
6Linear OA(490, 262180, F4, 13) (dual of [262180, 262090, 14]-code) [i]Construction X with VarÅ¡amov Bound
7Linear OOA(487, 131088, F4, 2, 13) (dual of [(131088, 2), 262089, 14]-NRT-code) [i]OOA Folding
8Linear OOA(487, 87392, F4, 3, 13) (dual of [(87392, 3), 262089, 14]-NRT-code) [i]
9Linear OOA(487, 43695, F4, 13, 13) (dual of [(43695, 13), 567948, 14]-NRT-code) [i]OOA Folding and Stacking with Additional Row