Information on Result #728284
Linear OA(3249, 1027, F32, 25) (dual of [1027, 978, 26]-code), using construction XX applied to C1 = C([1022,22]), C2 = C([0,23]), C3 = C1 + C2 = C([0,22]), and C∩ = C1 ∩ C2 = C([1022,23]) based on
- linear OA(3247, 1023, F32, 24) (dual of [1023, 976, 25]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,22}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- 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]
- 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]
- linear OA(3245, 1023, F32, 23) (dual of [1023, 978, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [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(882, 1027, S8, 25) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(1662, 1027, S16, 25) | [i] | ||
| 3 | Linear OA(3262, 1071, F32, 25) (dual of [1071, 1009, 26]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3263, 1073, F32, 25) (dual of [1073, 1010, 26]-code) | [i] | ||
| 5 | Linear OA(3264, 1091, F32, 25) (dual of [1091, 1027, 26]-code) | [i] | ||
| 6 | Linear OA(3265, 1093, F32, 25) (dual of [1093, 1028, 26]-code) | [i] | ||
| 7 | Linear OA(3266, 1103, F32, 25) (dual of [1103, 1037, 26]-code) | [i] | ||
| 8 | Linear OA(3267, 1105, F32, 25) (dual of [1105, 1038, 26]-code) | [i] | ||
| 9 | Linear OA(3268, 1125, F32, 25) (dual of [1125, 1057, 26]-code) | [i] | ||
| 10 | Linear OA(3269, 1127, F32, 25) (dual of [1127, 1058, 26]-code) | [i] | ||
| 11 | Linear OA(3270, 1131, F32, 25) (dual of [1131, 1061, 26]-code) | [i] | ||
| 12 | Linear OA(3271, 1370, F32, 25) (dual of [1370, 1299, 26]-code) | [i] | ||
| 13 | Linear OA(3272, 2054, F32, 25) (dual of [2054, 1982, 26]-code) | [i] | ||
| 14 | Linear OA(3254, 1044, F32, 25) (dual of [1044, 990, 26]-code) | [i] | Varšamov–Edel Lengthening | |
| 15 | Linear OA(3255, 1069, F32, 25) (dual of [1069, 1014, 26]-code) | [i] | ||
| 16 | Linear OA(3256, 1123, F32, 25) (dual of [1123, 1067, 26]-code) | [i] | ||
| 17 | Linear OA(3257, 1227, F32, 25) (dual of [1227, 1170, 26]-code) | [i] | ||
| 18 | Linear OA(3258, 1389, F32, 25) (dual of [1389, 1331, 26]-code) | [i] | ||
| 19 | Linear OA(3259, 1598, F32, 25) (dual of [1598, 1539, 26]-code) | [i] | ||