Information on Result #705710

Linear OA(3237, 765, F3, 59) (dual of [765, 528, 60]-code), using construction XX applied to C1 = C([307,364]), C2 = C([315,365]), C3 = C1 + C2 = C([315,364]), and C∩ = C1 ∩ C2 = C([307,365]) based on
  1. linear OA(3217, 728, F3, 58) (dual of [728, 511, 59]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {307,308,…,364}, and designed minimum distance d ≥ |I|+1 = 59 [i]
  2. linear OA(3202, 728, F3, 51) (dual of [728, 526, 52]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {315,316,…,365}, and designed minimum distance d ≥ |I|+1 = 52 [i]
  3. linear OA(3223, 728, F3, 59) (dual of [728, 505, 60]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {307,308,…,365}, and designed minimum distance d ≥ |I|+1 = 60 [i]
  4. linear OA(3196, 728, F3, 50) (dual of [728, 532, 51]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {315,316,…,364}, and designed minimum distance d ≥ |I|+1 = 51 [i]
  5. linear OA(314, 31, F3, 7) (dual of [31, 17, 8]-code), using
    • construction X applied to Ce(6) ⊂ Ce(4) [i] based on
      1. linear OA(313, 27, F3, 7) (dual of [27, 14, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
      2. linear OA(310, 27, F3, 5) (dual of [27, 17, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
      3. linear OA(31, 4, F3, 1) (dual of [4, 3, 2]-code), using
  6. linear OA(30, 6, F3, 0) (dual of [6, 6, 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

None.