Information on Result #729019

Linear OA(3268, 1027, F32, 36) (dual of [1027, 959, 37]-code), using construction XX applied to C1 = C([1022,33]), C2 = C([0,34]), C3 = C1 + C2 = C([0,33]), and C∩ = C1 ∩ C2 = C([1022,34]) based on
  1. linear OA(3266, 1023, F32, 35) (dual of [1023, 957, 36]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,33}, and designed minimum distance d ≥ |I|+1 = 36 [i]
  2. linear OA(3266, 1023, F32, 35) (dual of [1023, 957, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [i]
  3. linear OA(3268, 1023, F32, 36) (dual of [1023, 955, 37]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,34}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  4. linear OA(3264, 1023, F32, 34) (dual of [1023, 959, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
  5. linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
  6. linear OA(320, 2, F32, 0) (dual of [2, 2, 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
1OA(8114, 1027, S8, 36) [i]Discarding Parts of the Base for OAs
2OA(1685, 1027, S16, 36) [i]
3Linear OA(3289, 1091, F32, 36) (dual of [1091, 1002, 37]-code) [i](u, u+v)-Construction
4Linear OA(3290, 1093, F32, 36) (dual of [1093, 1003, 37]-code) [i]
5Linear OA(3291, 1103, F32, 36) (dual of [1103, 1012, 37]-code) [i]
6Linear OA(3292, 1105, F32, 36) (dual of [1105, 1013, 37]-code) [i]
7Linear OA(3293, 1125, F32, 36) (dual of [1125, 1032, 37]-code) [i]
8Linear OA(3294, 1127, F32, 36) (dual of [1127, 1033, 37]-code) [i]
9Linear OA(3295, 1131, F32, 36) (dual of [1131, 1036, 37]-code) [i]
10Linear OA(3296, 1133, F32, 36) (dual of [1133, 1037, 37]-code) [i]
11Linear OA(3297, 1147, F32, 36) (dual of [1147, 1050, 37]-code) [i]
12Linear OA(3298, 1149, F32, 36) (dual of [1149, 1051, 37]-code) [i]
13Linear OA(3299, 1151, F32, 36) (dual of [1151, 1052, 37]-code) [i]
14Linear OA(32100, 1153, F32, 36) (dual of [1153, 1053, 37]-code) [i]
15Linear OA(32101, 1155, F32, 36) (dual of [1155, 1054, 37]-code) [i]
16Linear OA(32102, 1372, F32, 36) (dual of [1372, 1270, 37]-code) [i]
17Linear OA(3276, 1051, F32, 36) (dual of [1051, 975, 37]-code) [i]VarÅ¡amov–Edel Lengthening
18Linear OA(3277, 1070, F32, 36) (dual of [1070, 993, 37]-code) [i]
19Linear OA(3278, 1107, F32, 36) (dual of [1107, 1029, 37]-code) [i]
20Linear OA(3279, 1169, F32, 36) (dual of [1169, 1090, 37]-code) [i]
21Linear OA(3280, 1263, F32, 36) (dual of [1263, 1183, 37]-code) [i]
22Linear OA(3281, 1385, F32, 36) (dual of [1385, 1304, 37]-code) [i]