Information on Result #679364

Linear OA(487, 16401, F4, 16) (dual of [16401, 16314, 17]-code), using construction XX applied to Ce(16) ⊂ Ce(13) ⊂ Ce(12) based on
  1. linear OA(485, 16384, F4, 17) (dual of [16384, 16299, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(471, 16384, F4, 14) (dual of [16384, 16313, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. 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]
  4. linear OA(41, 16, F4, 1) (dual of [16, 15, 2]-code), using
  5. linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-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(487, 10052, F4, 2, 16) (dual of [(10052, 2), 20017, 17]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(487, 10052, F4, 3, 16) (dual of [(10052, 3), 30069, 17]-NRT-code) [i]
3Digital (71, 87, 10052)-net over F4 [i]
4Linear OOA(487, 8200, F4, 2, 16) (dual of [(8200, 2), 16313, 17]-NRT-code) [i]OOA Folding
5Linear OOA(487, 5467, F4, 3, 16) (dual of [(5467, 3), 16314, 17]-NRT-code) [i]
6Linear OOA(487, 2050, F4, 16, 16) (dual of [(2050, 16), 32713, 17]-NRT-code) [i]OA Folding and Stacking