Information on Result #674310

Linear OA(3149, 4783010, F3, 16) (dual of [4783010, 4782861, 17]-code), using construction X applied to Ce(15) ⊂ Ce(10) based on
  1. linear OA(3141, 4782969, F3, 16) (dual of [4782969, 4782828, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
  2. linear OA(399, 4782969, F3, 11) (dual of [4782969, 4782870, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  3. linear OA(38, 41, F3, 4) (dual of [41, 33, 5]-code), using
    • the narrow-sense BCH-code C(I) with length 41 | 38−1, defining interval I = [1,1], and minimum distance d ≥ |{−3,−1,1,3}|+1 = 5 (BCH-bound) [i]

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(3149, 2391505, F3, 2, 16) (dual of [(2391505, 2), 4782861, 17]-NRT-code) [i]OOA Folding
2Linear OOA(3149, 1594336, F3, 3, 16) (dual of [(1594336, 3), 4782859, 17]-NRT-code) [i]
3Linear OOA(3149, 1195752, F3, 4, 16) (dual of [(1195752, 4), 4782859, 17]-NRT-code) [i]
4Linear OOA(3149, 956602, F3, 5, 16) (dual of [(956602, 5), 4782861, 17]-NRT-code) [i]
5Linear OOA(3149, 597876, F3, 16, 16) (dual of [(597876, 16), 9565867, 17]-NRT-code) [i]OA Folding and Stacking