Information on Result #1299772

Linear OA(444, 1042, F4, 11) (dual of [1042, 998, 12]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(443, 1040, F4, 11) (dual of [1040, 997, 12]-code), using
    • construction XX applied to C1 = C([1021,6]), C2 = C([0,8]), C3 = C1 + C2 = C([0,6]), and C∩ = C1 ∩ C2 = C([1021,8]) [i] based on
      1. linear OA(436, 1023, F4, 9) (dual of [1023, 987, 10]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−2,−1,…,6}, and designed minimum distance d ≥ |I|+1 = 10 [i]
      2. linear OA(431, 1023, F4, 9) (dual of [1023, 992, 10]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
      3. linear OA(441, 1023, F4, 11) (dual of [1023, 982, 12]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−2,−1,…,8}, and designed minimum distance d ≥ |I|+1 = 12 [i]
      4. linear OA(426, 1023, F4, 7) (dual of [1023, 997, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
      5. linear OA(41, 11, F4, 1) (dual of [11, 10, 2]-code), using
      6. linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
  2. linear OA(443, 1041, F4, 10) (dual of [1041, 998, 11]-code), using Gilbert–VarÅ¡amov bound and bm = 443 > Vbs−1(k−1) = 74 785573 527906 494223 639475 [i]
  3. linear OA(40, 1, F4, 0) (dual of [1, 1, 1]-code), using

Mode: 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.