Information on Result #728096
Linear OA(3241, 1027, F32, 21) (dual of [1027, 986, 22]-code), using construction XX applied to C1 = C([1022,18]), C2 = C([0,19]), C3 = C1 + C2 = C([0,18]), and C∩ = C1 ∩ C2 = C([1022,19]) based on
- linear OA(3239, 1023, F32, 20) (dual of [1023, 984, 21]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,18}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(3239, 1023, F32, 20) (dual of [1023, 984, 21]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(3241, 1023, F32, 21) (dual of [1023, 982, 22]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,19}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3237, 1023, F32, 19) (dual of [1023, 986, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [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(869, 1027, S8, 21) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(1652, 1027, S16, 21) | [i] | ||
| 3 | Linear OA(3251, 1060, F32, 21) (dual of [1060, 1009, 22]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3252, 1071, F32, 21) (dual of [1071, 1019, 22]-code) | [i] | ||
| 5 | Linear OA(3253, 1073, F32, 21) (dual of [1073, 1020, 22]-code) | [i] | ||
| 6 | Linear OA(3254, 1091, F32, 21) (dual of [1091, 1037, 22]-code) | [i] | ||
| 7 | Linear OA(3255, 1093, F32, 21) (dual of [1093, 1038, 22]-code) | [i] | ||
| 8 | Linear OA(3256, 1103, F32, 21) (dual of [1103, 1047, 22]-code) | [i] | ||
| 9 | Linear OA(3257, 1122, F32, 21) (dual of [1122, 1065, 22]-code) | [i] | ||
| 10 | Linear OA(3258, 1125, F32, 21) (dual of [1125, 1067, 22]-code) | [i] | ||
| 11 | Linear OA(3259, 1128, F32, 21) (dual of [1128, 1069, 22]-code) | [i] | ||
| 12 | Linear OA(3260, 2054, F32, 21) (dual of [2054, 1994, 22]-code) | [i] | ||
| 13 | Linear OA(3246, 1047, F32, 21) (dual of [1047, 1001, 22]-code) | [i] | Varšamov–Edel Lengthening | |
| 14 | Linear OA(3247, 1082, F32, 21) (dual of [1082, 1035, 22]-code) | [i] | ||
| 15 | Linear OA(3248, 1167, F32, 21) (dual of [1167, 1119, 22]-code) | [i] | ||
| 16 | Linear OA(3249, 1330, F32, 21) (dual of [1330, 1281, 22]-code) | [i] | ||
| 17 | Linear OA(3250, 1564, F32, 21) (dual of [1564, 1514, 22]-code) | [i] | ||
| 18 | Linear OA(3251, 1856, F32, 21) (dual of [1856, 1805, 22]-code) | [i] | ||
| 19 | Linear OA(3252, 2205, F32, 21) (dual of [2205, 2153, 22]-code) | [i] | ||