Information on Result #707557

Linear OA(441, 1033, F4, 11) (dual of [1033, 992, 12]-code), using construction XX applied to C1 = C([1022,8]), C2 = C([0,9]), C3 = C1 + C2 = C([0,8]), and C∩ = C1 ∩ C2 = C([1022,9]) based on
  1. linear OA(436, 1023, F4, 10) (dual of [1023, 987, 11]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−1,0,…,8}, and designed minimum distance d ≥ |I|+1 = 11 [i]
  2. linear OA(436, 1023, F4, 10) (dual of [1023, 987, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [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 = {−1,0,…,9}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  4. 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]
  5. linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
  6. linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code) (see above)

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(444, 1046, F4, 11) (dual of [1046, 1002, 12]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(445, 1063, F4, 11) (dual of [1063, 1018, 12]-code) [i]
3Linear OA(446, 1096, F4, 11) (dual of [1096, 1050, 12]-code) [i]
4Linear OA(447, 1154, F4, 11) (dual of [1154, 1107, 12]-code) [i]
5Linear OA(448, 1248, F4, 11) (dual of [1248, 1200, 12]-code) [i]
6Linear OOA(441, 516, F4, 2, 11) (dual of [(516, 2), 991, 12]-NRT-code) [i]OOA Folding
7Linear OOA(441, 344, F4, 3, 11) (dual of [(344, 3), 991, 12]-NRT-code) [i]