Information on Result #728341

Linear OA(3251, 1027, F32, 26) (dual of [1027, 976, 27]-code), using construction XX applied to C1 = C([1022,23]), C2 = C([0,24]), C3 = C1 + C2 = C([0,23]), and C∩ = C1 ∩ C2 = C([1022,24]) based on
  1. linear OA(3249, 1023, F32, 25) (dual of [1023, 974, 26]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,23}, and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(3249, 1023, F32, 25) (dual of [1023, 974, 26]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,24], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(3251, 1023, F32, 26) (dual of [1023, 972, 27]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,24}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  4. linear OA(3247, 1023, F32, 24) (dual of [1023, 976, 25]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,23], and designed minimum distance d ≥ |I|+1 = 25 [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(885, 1027, S8, 26) [i]Discarding Parts of the Base for OAs
2OA(1664, 1027, S16, 26) [i]
3Linear OA(3265, 1071, F32, 26) (dual of [1071, 1006, 27]-code) [i](u, u+v)-Construction
4Linear OA(3266, 1073, F32, 26) (dual of [1073, 1007, 27]-code) [i]
5Linear OA(3267, 1091, F32, 26) (dual of [1091, 1024, 27]-code) [i]
6Linear OA(3268, 1093, F32, 26) (dual of [1093, 1025, 27]-code) [i]
7Linear OA(3269, 1103, F32, 26) (dual of [1103, 1034, 27]-code) [i]
8Linear OA(3270, 1105, F32, 26) (dual of [1105, 1035, 27]-code) [i]
9Linear OA(3271, 1125, F32, 26) (dual of [1125, 1054, 27]-code) [i]
10Linear OA(3272, 1127, F32, 26) (dual of [1127, 1055, 27]-code) [i]
11Linear OA(3273, 1131, F32, 26) (dual of [1131, 1058, 27]-code) [i]
12Linear OA(3274, 1135, F32, 26) (dual of [1135, 1061, 27]-code) [i]
13Linear OA(3275, 1371, F32, 26) (dual of [1371, 1296, 27]-code) [i]
14Linear OA(3256, 1043, F32, 26) (dual of [1043, 987, 27]-code) [i]VarÅ¡amov–Edel Lengthening
15Linear OA(3257, 1066, F32, 26) (dual of [1066, 1009, 27]-code) [i]
16Linear OA(3258, 1115, F32, 26) (dual of [1115, 1057, 27]-code) [i]
17Linear OA(3259, 1211, F32, 26) (dual of [1211, 1152, 27]-code) [i]
18Linear OA(3260, 1363, F32, 26) (dual of [1363, 1303, 27]-code) [i]
19Linear OA(3261, 1558, F32, 26) (dual of [1558, 1497, 27]-code) [i]