Information on Result #727686
Linear OA(3221, 1027, F32, 11) (dual of [1027, 1006, 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
- linear OA(3219, 1023, F32, 10) (dual of [1023, 1004, 11]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,8}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(3219, 1023, F32, 10) (dual of [1023, 1004, 11]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(3221, 1023, F32, 11) (dual of [1023, 1002, 12]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,9}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(3217, 1023, F32, 9) (dual of [1023, 1006, 10]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OA(835, 1027, S8, 11) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(1627, 1027, S16, 11) | [i] | ||
| 3 | Linear OA(3266, 2054, F32, 23) (dual of [2054, 1988, 24]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3288, 33798, F32, 23) (dual of [33798, 33710, 24]-code) | [i] | ||
| 5 | Linear OA(32110, 1049607, F32, 23) (dual of [1049607, 1049497, 24]-code) | [i] | ||
| 6 | Linear OA(3226, 1060, F32, 11) (dual of [1060, 1034, 12]-code) | [i] | ||
| 7 | Linear OA(3227, 1071, F32, 11) (dual of [1071, 1044, 12]-code) | [i] | ||
| 8 | Linear OA(3228, 2020, F32, 11) (dual of [2020, 1992, 12]-code) | [i] | ||
| 9 | Linear OA(3230, 2054, F32, 11) (dual of [2054, 2024, 12]-code) | [i] | ||
| 10 | Linear OA(3224, 1038, F32, 11) (dual of [1038, 1014, 12]-code) | [i] | Varšamov–Edel Lengthening | |
| 11 | Linear OA(3225, 1083, F32, 11) (dual of [1083, 1058, 12]-code) | [i] | ||
| 12 | Linear OA(3226, 1267, F32, 11) (dual of [1267, 1241, 12]-code) | [i] | ||
| 13 | Linear OA(3227, 1706, F32, 11) (dual of [1706, 1679, 12]-code) | [i] | ||
| 14 | Linear OA(3228, 2399, F32, 11) (dual of [2399, 2371, 12]-code) | [i] | ||