Information on Result #706647

Linear OA(4128, 297, F4, 41) (dual of [297, 169, 42]-code), using construction XX applied to C1 = C([49,85]), C2 = C([57,89]), C3 = C1 + C2 = C([57,85]), and C∩ = C1 ∩ C2 = C([49,89]) based on
  1. linear OA(4101, 255, F4, 37) (dual of [255, 154, 38]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {49,50,…,85}, and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. linear OA(495, 255, F4, 33) (dual of [255, 160, 34]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,89}, and designed minimum distance d ≥ |I|+1 = 34 [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 = {49,50,…,89}, and designed minimum distance d ≥ |I|+1 = 42 [i]
  4. linear OA(483, 255, F4, 29) (dual of [255, 172, 30]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {57,58,…,85}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  5. linear OA(411, 26, F4, 7) (dual of [26, 15, 8]-code), using
  6. linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), 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(4129, 298, F4, 41) (dual of [298, 169, 42]-code) [i]Code Embedding in Larger Space
2Linear OA(4127, 296, F4, 40) (dual of [296, 169, 41]-code) [i]Truncation
3Linear OOA(4128, 148, F4, 2, 41) (dual of [(148, 2), 168, 42]-NRT-code) [i]OOA Folding