Information on Result #727732
Linear OA(3225, 1027, F32, 13) (dual of [1027, 1002, 14]-code), using construction XX applied to C1 = C([1022,10]), C2 = C([0,11]), C3 = C1 + C2 = C([0,10]), and C∩ = C1 ∩ C2 = C([1022,11]) based on
- linear OA(3223, 1023, F32, 12) (dual of [1023, 1000, 13]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,10}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(3223, 1023, F32, 12) (dual of [1023, 1000, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(3225, 1023, F32, 13) (dual of [1023, 998, 14]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,11}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(3221, 1023, F32, 11) (dual of [1023, 1002, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [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(842, 1027, S8, 13) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(1632, 1027, S16, 13) | [i] | ||
| 3 | Linear OA(3278, 2054, F32, 27) (dual of [2054, 1976, 28]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(32104, 33798, F32, 27) (dual of [33798, 33694, 28]-code) | [i] | ||
| 5 | Linear OA(3231, 1060, F32, 13) (dual of [1060, 1029, 14]-code) | [i] | ||
| 6 | Linear OA(3232, 1071, F32, 13) (dual of [1071, 1039, 14]-code) | [i] | ||
| 7 | Linear OA(3233, 1073, F32, 13) (dual of [1073, 1040, 14]-code) | [i] | ||
| 8 | Linear OA(3234, 1093, F32, 13) (dual of [1093, 1059, 14]-code) | [i] | ||
| 9 | Linear OA(3235, 1124, F32, 13) (dual of [1124, 1089, 14]-code) | [i] | ||
| 10 | Linear OA(3236, 2054, F32, 13) (dual of [2054, 2018, 14]-code) | [i] | ||
| 11 | Linear OA(3229, 1063, F32, 13) (dual of [1063, 1034, 14]-code) | [i] | Varšamov–Edel Lengthening | |
| 12 | Linear OA(3230, 1152, F32, 13) (dual of [1152, 1122, 14]-code) | [i] | ||
| 13 | Linear OA(3231, 1373, F32, 13) (dual of [1373, 1342, 14]-code) | [i] | ||
| 14 | Linear OA(3232, 1775, F32, 13) (dual of [1775, 1743, 14]-code) | [i] | ||
| 15 | Linear OOA(3225, 171, F32, 13, 13) (dual of [(171, 13), 2198, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |