Information on Result #706893

Linear OA(4145, 303, F4, 46) (dual of [303, 158, 47]-code), using construction XX applied to C1 = C([44,85]), C2 = C([51,89]), C3 = C1 + C2 = C([51,85]), and C∩ = C1 ∩ C2 = C([44,89]) based on
  1. linear OA(4117, 255, F4, 42) (dual of [255, 138, 43]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {44,45,…,85}, and designed minimum distance d ≥ |I|+1 = 43 [i]
  2. linear OA(4109, 255, F4, 39) (dual of [255, 146, 40]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,89}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  3. linear OA(4129, 255, F4, 46) (dual of [255, 126, 47]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {44,45,…,89}, and designed minimum distance d ≥ |I|+1 = 47 [i]
  4. linear OA(497, 255, F4, 35) (dual of [255, 158, 36]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {51,52,…,85}, and designed minimum distance d ≥ |I|+1 = 36 [i]
  5. linear OA(412, 32, F4, 6) (dual of [32, 20, 7]-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 OOA(4145, 151, F4, 2, 46) (dual of [(151, 2), 157, 47]-NRT-code) [i]OOA Folding