Information on Result #706811

Linear OA(4121, 283, F4, 41) (dual of [283, 162, 42]-code), using construction XX applied to C1 = C([69,105]), C2 = C([65,101]), C3 = C1 + C2 = C([69,101]), and C∩ = C1 ∩ C2 = C([65,105]) based on
  1. linear OA(4103, 255, F4, 37) (dual of [255, 152, 38]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,105}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. linear OA(4103, 255, F4, 37) (dual of [255, 152, 38]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {65,66,…,101}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  3. linear OA(4113, 255, F4, 41) (dual of [255, 142, 42]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {65,66,…,105}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  4. linear OA(493, 255, F4, 33) (dual of [255, 162, 34]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,101}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  5. linear OA(44, 14, F4, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,4)), using
  6. linear OA(44, 14, F4, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,4)) (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(4121, 283, F4, 40) (dual of [283, 162, 41]-code) [i]Strength Reduction
2Linear OA(4122, 284, F4, 41) (dual of [284, 162, 42]-code) [i]Code Embedding in Larger Space
3Linear OA(4123, 285, F4, 41) (dual of [285, 162, 42]-code) [i]
4Linear OOA(4121, 141, F4, 2, 41) (dual of [(141, 2), 161, 42]-NRT-code) [i]OOA Folding
5Linear OOA(4121, 94, F4, 3, 41) (dual of [(94, 3), 161, 42]-NRT-code) [i]