Information on Result #697283
Linear OA(3266, 1026, F32, 35) (dual of [1026, 960, 36]-code), using construction X applied to Ce(34) ⊂ Ce(33) based on
- linear OA(3266, 1024, F32, 35) (dual of [1024, 958, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3264, 1024, F32, 34) (dual of [1024, 960, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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
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(8110, 1026, S8, 35) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(1683, 1026, S16, 35) | [i] | ||
| 3 | Linear OA(3286, 1090, F32, 35) (dual of [1090, 1004, 36]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3287, 1092, F32, 35) (dual of [1092, 1005, 36]-code) | [i] | ||
| 5 | Linear OA(3288, 1102, F32, 35) (dual of [1102, 1014, 36]-code) | [i] | ||
| 6 | Linear OA(3289, 1104, F32, 35) (dual of [1104, 1015, 36]-code) | [i] | ||
| 7 | Linear OA(3290, 1124, F32, 35) (dual of [1124, 1034, 36]-code) | [i] | ||
| 8 | Linear OA(3291, 1126, F32, 35) (dual of [1126, 1035, 36]-code) | [i] | ||
| 9 | Linear OA(3292, 1130, F32, 35) (dual of [1130, 1038, 36]-code) | [i] | ||
| 10 | Linear OA(3293, 1132, F32, 35) (dual of [1132, 1039, 36]-code) | [i] | ||
| 11 | Linear OA(3294, 1146, F32, 35) (dual of [1146, 1052, 36]-code) | [i] | ||
| 12 | Linear OA(3295, 1148, F32, 35) (dual of [1148, 1053, 36]-code) | [i] | ||
| 13 | Linear OA(3296, 1150, F32, 35) (dual of [1150, 1054, 36]-code) | [i] | ||
| 14 | Linear OA(3297, 1154, F32, 35) (dual of [1154, 1057, 36]-code) | [i] | ||
| 15 | Linear OA(3298, 1371, F32, 35) (dual of [1371, 1273, 36]-code) | [i] | ||
| 16 | Linear OA(3299, 2052, F32, 35) (dual of [2052, 1953, 36]-code) | [i] | ||
| 17 | Linear OA(3274, 1050, F32, 35) (dual of [1050, 976, 36]-code) | [i] | Varšamov–Edel Lengthening | |
| 18 | Linear OA(3275, 1070, F32, 35) (dual of [1070, 995, 36]-code) | [i] | ||
| 19 | Linear OA(3276, 1106, F32, 35) (dual of [1106, 1030, 36]-code) | [i] | ||
| 20 | Linear OA(3277, 1170, F32, 35) (dual of [1170, 1093, 36]-code) | [i] | ||
| 21 | Linear OA(3278, 1266, F32, 35) (dual of [1266, 1188, 36]-code) | [i] | ||
| 22 | Linear OA(3279, 1391, F32, 35) (dual of [1391, 1312, 36]-code) | [i] | ||
| 23 | Linear OA(3280, 1537, F32, 35) (dual of [1537, 1457, 36]-code) | [i] | ||
| 24 | Linear OOA(3266, 513, F32, 2, 35) (dual of [(513, 2), 960, 36]-NRT-code) | [i] | OOA Folding | |