Information on Result #728763
Linear OA(3263, 1027, F32, 32) (dual of [1027, 964, 33]-code), using construction XX applied to C1 = C([1022,29]), C2 = C([0,30]), C3 = C1 + C2 = C([0,29]), and C∩ = C1 ∩ C2 = C([1022,30]) based on
- linear OA(3261, 1023, F32, 31) (dual of [1023, 962, 32]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,29}, and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3261, 1023, F32, 31) (dual of [1023, 962, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(3263, 1023, F32, 32) (dual of [1023, 960, 33]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,30}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3259, 1023, F32, 30) (dual of [1023, 964, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [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(8105, 1027, S8, 32) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(1679, 1027, S16, 32) | [i] | ||
| 3 | Linear OA(3282, 1091, F32, 32) (dual of [1091, 1009, 33]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3284, 1103, F32, 32) (dual of [1103, 1019, 33]-code) | [i] | ||
| 5 | Linear OA(3286, 1125, F32, 32) (dual of [1125, 1039, 33]-code) | [i] | ||
| 6 | Linear OA(3288, 1131, F32, 32) (dual of [1131, 1043, 33]-code) | [i] | ||
| 7 | Linear OA(3290, 1147, F32, 32) (dual of [1147, 1057, 33]-code) | [i] | ||
| 8 | Linear OA(3269, 1057, F32, 32) (dual of [1057, 988, 33]-code) | [i] | Varšamov–Edel Lengthening | |
| 9 | Linear OA(3270, 1092, F32, 32) (dual of [1092, 1022, 33]-code) | [i] | ||
| 10 | Linear OA(3271, 1163, F32, 32) (dual of [1163, 1092, 33]-code) | [i] | ||
| 11 | Linear OOA(3263, 513, F32, 2, 32) (dual of [(513, 2), 963, 33]-NRT-code) | [i] | OOA Folding | |