Information on Result #674509

Linear OA(3202, 531499, F3, 24) (dual of [531499, 531297, 25]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
  1. linear OA(3193, 531442, F3, 25) (dual of [531442, 531249, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  2. linear OA(3145, 531442, F3, 19) (dual of [531442, 531297, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 324−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  3. linear OA(39, 57, F3, 4) (dual of [57, 48, 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 OA(3207, 531504, F3, 24) (dual of [531504, 531297, 25]-code) [i]Code Embedding in Larger Space
2Linear OA(3207, 531505, F3, 24) (dual of [531505, 531298, 25]-code) [i]Construction X with VarÅ¡amov Bound
3Linear OOA(3202, 265749, F3, 2, 24) (dual of [(265749, 2), 531296, 25]-NRT-code) [i]OOA Folding
4Linear OOA(3202, 177166, F3, 3, 24) (dual of [(177166, 3), 531296, 25]-NRT-code) [i]
5Linear OOA(3202, 132874, F3, 4, 24) (dual of [(132874, 4), 531294, 25]-NRT-code) [i]
6Linear OOA(3202, 106299, F3, 5, 24) (dual of [(106299, 5), 531293, 25]-NRT-code) [i]
7Linear OOA(3202, 44291, F3, 24, 24) (dual of [(44291, 24), 1062782, 25]-NRT-code) [i]OA Folding and Stacking