Information on Result #722250

Linear OA(16101, 262, F16, 58) (dual of [262, 161, 59]-code), using construction XX applied to C1 = C([253,54]), C2 = C([0,55]), C3 = C1 + C2 = C([0,54]), and C∩ = C1 ∩ C2 = C([253,55]) based on
  1. linear OA(1698, 255, F16, 57) (dual of [255, 157, 58]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−2,−1,…,54}, and designed minimum distance d ≥ |I|+1 = 58 [i]
  2. linear OA(1696, 255, F16, 56) (dual of [255, 159, 57]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,55], and designed minimum distance d ≥ |I|+1 = 57 [i]
  3. linear OA(16100, 255, F16, 58) (dual of [255, 155, 59]-code), using the primitive BCH-code C(I) with length 255 = 162−1, defining interval I = {−2,−1,…,55}, and designed minimum distance d ≥ |I|+1 = 59 [i]
  4. linear OA(1694, 255, F16, 55) (dual of [255, 161, 56]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [0,54], and designed minimum distance d ≥ |I|+1 = 56 [i]
  5. linear OA(161, 5, F16, 1) (dual of [5, 4, 2]-code), using
  6. linear OA(160, 2, F16, 0) (dual of [2, 2, 1]-code), 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(16105, 275, F16, 58) (dual of [275, 170, 59]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OOA(16101, 131, F16, 2, 58) (dual of [(131, 2), 161, 59]-NRT-code) [i]OOA Folding