Information on Result #729180
Linear OA(3280, 1027, F32, 42) (dual of [1027, 947, 43]-code), using construction XX applied to C1 = C([1022,39]), C2 = C([0,40]), C3 = C1 + C2 = C([0,39]), and C∩ = C1 ∩ C2 = C([1022,40]) based on
- linear OA(3278, 1023, F32, 41) (dual of [1023, 945, 42]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,39}, and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(3278, 1023, F32, 41) (dual of [1023, 945, 42]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,40], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(3280, 1023, F32, 42) (dual of [1023, 943, 43]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,40}, and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(3276, 1023, F32, 40) (dual of [1023, 947, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [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(8134, 1027, S8, 42) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(16100, 1027, S16, 42) | [i] | ||
| 3 | Linear OA(32104, 1091, F32, 42) (dual of [1091, 987, 43]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(32105, 1093, F32, 42) (dual of [1093, 988, 43]-code) | [i] | ||
| 5 | Linear OA(32106, 1103, F32, 42) (dual of [1103, 997, 43]-code) | [i] | ||
| 6 | Linear OA(32107, 1105, F32, 42) (dual of [1105, 998, 43]-code) | [i] | ||
| 7 | Linear OA(32108, 1125, F32, 42) (dual of [1125, 1017, 43]-code) | [i] | ||
| 8 | Linear OA(32109, 1127, F32, 42) (dual of [1127, 1018, 43]-code) | [i] | ||
| 9 | Linear OA(32110, 1131, F32, 42) (dual of [1131, 1021, 43]-code) | [i] | ||
| 10 | Linear OA(3288, 1052, F32, 42) (dual of [1052, 964, 43]-code) | [i] | Varšamov–Edel Lengthening | |
| 11 | Linear OA(3289, 1073, F32, 42) (dual of [1073, 984, 43]-code) | [i] | ||
| 12 | Linear OA(3290, 1112, F32, 42) (dual of [1112, 1022, 43]-code) | [i] | ||
| 13 | Linear OA(3291, 1176, F32, 42) (dual of [1176, 1085, 43]-code) | [i] | ||
| 14 | Linear OA(3292, 1265, F32, 42) (dual of [1265, 1173, 43]-code) | [i] | ||