Information on Result #674547

Linear OA(3245, 531469, F3, 31) (dual of [531469, 531224, 32]-code), using construction X applied to Ce(30) ⊂ Ce(27) based on
  1. linear OA(3241, 531441, F3, 31) (dual of [531441, 531200, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(3217, 531441, F3, 28) (dual of [531441, 531224, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
  3. linear OA(34, 28, F3, 2) (dual of [28, 24, 3]-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(3246, 531470, F3, 31) (dual of [531470, 531224, 32]-code) [i]Code Embedding in Larger Space
2Linear OA(3244, 531468, F3, 30) (dual of [531468, 531224, 31]-code) [i]Truncation
3Linear OOA(3245, 265734, F3, 2, 31) (dual of [(265734, 2), 531223, 32]-NRT-code) [i]OOA Folding
4Linear OOA(3245, 177156, F3, 3, 31) (dual of [(177156, 3), 531223, 32]-NRT-code) [i]
5Linear OOA(3245, 132867, F3, 4, 31) (dual of [(132867, 4), 531223, 32]-NRT-code) [i]
6Linear OOA(3245, 106293, F3, 5, 31) (dual of [(106293, 5), 531220, 32]-NRT-code) [i]
7Linear OOA(3245, 35431, F3, 31, 31) (dual of [(35431, 31), 1098116, 32]-NRT-code) [i]OOA Folding and Stacking with Additional Row