Information on Result #678180

Linear OA(464, 1048597, F4, 9) (dual of [1048597, 1048533, 10]-code), using construction X applied to Ce(8) ⊂ Ce(5) based on
  1. linear OA(461, 1048576, F4, 9) (dual of [1048576, 1048515, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OA(441, 1048576, F4, 6) (dual of [1048576, 1048535, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
  3. linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-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 OOA(464, 524298, F4, 2, 9) (dual of [(524298, 2), 1048532, 10]-NRT-code) [i]OOA Folding
2Linear OOA(464, 349532, F4, 3, 9) (dual of [(349532, 3), 1048532, 10]-NRT-code) [i]
3Linear OOA(464, 262149, F4, 9, 9) (dual of [(262149, 9), 2359277, 10]-NRT-code) [i]OOA Folding and Stacking with Additional Row