Information on Result #729068
Linear OA(3270, 1027, F32, 37) (dual of [1027, 957, 38]-code), using construction XX applied to C1 = C([1022,34]), C2 = C([0,35]), C3 = C1 + C2 = C([0,34]), and C∩ = C1 ∩ C2 = C([1022,35]) based on
- linear OA(3268, 1023, F32, 36) (dual of [1023, 955, 37]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,34}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3268, 1023, F32, 36) (dual of [1023, 955, 37]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,35], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3270, 1023, F32, 37) (dual of [1023, 953, 38]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,35}, and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(3266, 1023, F32, 35) (dual of [1023, 957, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [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(8117, 1027, S8, 37) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(1688, 1027, S16, 37) | [i] | ||
| 3 | Linear OA(3291, 1091, F32, 37) (dual of [1091, 1000, 38]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3292, 1093, F32, 37) (dual of [1093, 1001, 38]-code) | [i] | ||
| 5 | Linear OA(3293, 1103, F32, 37) (dual of [1103, 1010, 38]-code) | [i] | ||
| 6 | Linear OA(3294, 1105, F32, 37) (dual of [1105, 1011, 38]-code) | [i] | ||
| 7 | Linear OA(3295, 1125, F32, 37) (dual of [1125, 1030, 38]-code) | [i] | ||
| 8 | Linear OA(3296, 1127, F32, 37) (dual of [1127, 1031, 38]-code) | [i] | ||
| 9 | Linear OA(3297, 1131, F32, 37) (dual of [1131, 1034, 38]-code) | [i] | ||
| 10 | Linear OA(3298, 1133, F32, 37) (dual of [1133, 1035, 38]-code) | [i] | ||
| 11 | Linear OA(3299, 1147, F32, 37) (dual of [1147, 1048, 38]-code) | [i] | ||
| 12 | Linear OA(32100, 1149, F32, 37) (dual of [1149, 1049, 38]-code) | [i] | ||
| 13 | Linear OA(32101, 1151, F32, 37) (dual of [1151, 1050, 38]-code) | [i] | ||
| 14 | Linear OA(32102, 1153, F32, 37) (dual of [1153, 1051, 38]-code) | [i] | ||
| 15 | Linear OA(32103, 1155, F32, 37) (dual of [1155, 1052, 38]-code) | [i] | ||
| 16 | Linear OA(32104, 1372, F32, 37) (dual of [1372, 1268, 38]-code) | [i] | ||
| 17 | Linear OA(32105, 2054, F32, 37) (dual of [2054, 1949, 38]-code) | [i] | ||
| 18 | Linear OA(3278, 1051, F32, 37) (dual of [1051, 973, 38]-code) | [i] | Varšamov–Edel Lengthening | |
| 19 | Linear OA(3279, 1070, F32, 37) (dual of [1070, 991, 38]-code) | [i] | ||
| 20 | Linear OA(3280, 1107, F32, 37) (dual of [1107, 1027, 38]-code) | [i] | ||
| 21 | Linear OA(3281, 1169, F32, 37) (dual of [1169, 1088, 38]-code) | [i] | ||
| 22 | Linear OA(3282, 1261, F32, 37) (dual of [1261, 1179, 38]-code) | [i] | ||
| 23 | Linear OA(3283, 1380, F32, 37) (dual of [1380, 1297, 38]-code) | [i] | ||