Information on Result #674304

Linear OA(3203, 4783017, F3, 21) (dual of [4783017, 4782814, 22]-code), using construction X applied to Ce(21) ⊂ Ce(16) based on
  1. linear OA(3197, 4782969, F3, 22) (dual of [4782969, 4782772, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  2. linear OA(3155, 4782969, F3, 17) (dual of [4782969, 4782814, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), 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, 4783018, F3, 21) (dual of [4783018, 4782814, 22]-code) [i]Code Embedding in Larger Space
2Linear OOA(3203, 2391508, F3, 2, 21) (dual of [(2391508, 2), 4782813, 22]-NRT-code) [i]OOA Folding
3Linear OOA(3203, 1594339, F3, 3, 21) (dual of [(1594339, 3), 4782814, 22]-NRT-code) [i]
4Linear OOA(3203, 1195754, F3, 4, 21) (dual of [(1195754, 4), 4782813, 22]-NRT-code) [i]
5Linear OOA(3203, 956603, F3, 5, 21) (dual of [(956603, 5), 4782812, 22]-NRT-code) [i]
6Linear OOA(3203, 478301, F3, 21, 21) (dual of [(478301, 21), 10044118, 22]-NRT-code) [i]OOA Folding and Stacking with Additional Row