Information on Result #705386

Linear OA(3180, 742, F3, 46) (dual of [742, 562, 47]-code), using construction XX applied to C1 = C([324,367]), C2 = C([322,365]), C3 = C1 + C2 = C([324,365]), and C∩ = C1 ∩ C2 = C([322,367]) based on
  1. linear OA(3172, 728, F3, 44) (dual of [728, 556, 45]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {324,325,…,367}, and designed minimum distance d ≥ |I|+1 = 45 [i]
  2. linear OA(3172, 728, F3, 44) (dual of [728, 556, 45]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {322,323,…,365}, and designed minimum distance d ≥ |I|+1 = 45 [i]
  3. linear OA(3178, 728, F3, 46) (dual of [728, 550, 47]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {322,323,…,367}, and designed minimum distance d ≥ |I|+1 = 47 [i]
  4. linear OA(3166, 728, F3, 42) (dual of [728, 562, 43]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {324,325,…,365}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  5. linear OA(31, 7, F3, 1) (dual of [7, 6, 2]-code), using
  6. linear OA(31, 7, F3, 1) (dual of [7, 6, 2]-code) (see above)

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(3181, 743, F3, 46) (dual of [743, 562, 47]-code) [i]Code Embedding in Larger Space
2Linear OOA(3180, 371, F3, 2, 46) (dual of [(371, 2), 562, 47]-NRT-code) [i]OOA Folding
3Linear OOA(3180, 247, F3, 3, 46) (dual of [(247, 3), 561, 47]-NRT-code) [i]
4Linear OOA(3180, 185, F3, 4, 46) (dual of [(185, 4), 560, 47]-NRT-code) [i]
5Linear OOA(3180, 148, F3, 5, 46) (dual of [(148, 5), 560, 47]-NRT-code) [i]