Information on Result #736844

Linear OA(3204, 531501, F3, 25) (dual of [531501, 531297, 26]-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(311, 59, F3, 5) (dual of [59, 48, 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 OA(3204, 531501, F3, 24) (dual of [531501, 531297, 25]-code) [i]Strength Reduction
2Linear OA(3205, 531502, F3, 25) (dual of [531502, 531297, 26]-code) [i]Code Embedding in Larger Space
3Linear OA(3207, 531504, F3, 25) (dual of [531504, 531297, 26]-code) [i]
4Linear OA(3208, 531505, F3, 25) (dual of [531505, 531297, 26]-code) [i]
5Linear OA(3203, 531500, F3, 24) (dual of [531500, 531297, 25]-code) [i]Truncation
6Linear OOA(3204, 265750, F3, 2, 25) (dual of [(265750, 2), 531296, 26]-NRT-code) [i]OOA Folding
7Linear OOA(3204, 177167, F3, 3, 25) (dual of [(177167, 3), 531297, 26]-NRT-code) [i]
8Linear OOA(3204, 132875, F3, 4, 25) (dual of [(132875, 4), 531296, 26]-NRT-code) [i]
9Linear OOA(3204, 106300, F3, 5, 25) (dual of [(106300, 5), 531296, 26]-NRT-code) [i]
10Linear OOA(3204, 44291, F3, 25, 25) (dual of [(44291, 25), 1107071, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row