Information on Result #678254

Linear OA(4131, 1048636, F4, 16) (dual of [1048636, 1048505, 17]-code), using construction X applied to Ce(16) ⊂ Ce(9) based on
  1. linear OA(4121, 1048576, F4, 17) (dual of [1048576, 1048455, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(471, 1048576, F4, 10) (dual of [1048576, 1048505, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
  3. linear OA(410, 60, F4, 5) (dual of [60, 50, 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 OOA(4131, 785033, F4, 2, 16) (dual of [(785033, 2), 1569935, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4131, 785033, F4, 3, 16) (dual of [(785033, 3), 2354968, 17]-NRT-code) [i]
3Digital (115, 131, 785033)-net over F4 [i]
4Linear OOA(4131, 524318, F4, 2, 16) (dual of [(524318, 2), 1048505, 17]-NRT-code) [i]OOA Folding
5Linear OOA(4131, 349545, F4, 3, 16) (dual of [(349545, 3), 1048504, 17]-NRT-code) [i]
6Linear OOA(4131, 131079, F4, 16, 16) (dual of [(131079, 16), 2097133, 17]-NRT-code) [i]OA Folding and Stacking