Information on Result #677520

Linear OA(3192, 199, F3, 123) (dual of [199, 7, 124]-code), using construction XX applied to Ce(159) ⊂ Ce(105) ⊂ Ce(99) based on
  1. linear OA(3160, 161, F3, 160) (dual of [161, 1, 161]-code or 161-arc in PG(159,3)), using an extension Ce(159) of the narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [1,159], and designed minimum distance d ≥ |I|+1 = 160 [i]
  2. linear OA(3156, 161, F3, 106) (dual of [161, 5, 107]-code), using an extension Ce(105) of the narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [1,105], and designed minimum distance d ≥ |I|+1 = 106 [i]
  3. linear OA(3154, 161, F3, 100) (dual of [161, 7, 101]-code), using an extension Ce(99) of the narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [1,99], and designed minimum distance d ≥ |I|+1 = 100 [i]
  4. linear OA(324, 30, F3, 16) (dual of [30, 6, 17]-code), using
    • residual code [i] based on linear OA(374, 81, F3, 50) (dual of [81, 7, 51]-code), using
      • an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
  5. linear OA(36, 8, F3, 5) (dual of [8, 2, 6]-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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.