Information on Result #678238

Linear OA(488, 1048619, F4, 11) (dual of [1048619, 1048531, 12]-code), using construction X applied to Ce(10) ⊂ Ce(5) based on
  1. linear OA(481, 1048576, F4, 11) (dual of [1048576, 1048495, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(47, 43, F4, 4) (dual of [43, 36, 5]-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(488, 524309, F4, 2, 11) (dual of [(524309, 2), 1048530, 12]-NRT-code) [i]OOA Folding
2Linear OOA(488, 349539, F4, 3, 11) (dual of [(349539, 3), 1048529, 12]-NRT-code) [i]
3Linear OOA(488, 209723, F4, 11, 11) (dual of [(209723, 11), 2306865, 12]-NRT-code) [i]OOA Folding and Stacking with Additional Row