Information on Result #727920
Linear OA(3235, 1027, F32, 18) (dual of [1027, 992, 19]-code), using construction XX applied to C1 = C([1022,15]), C2 = C([0,16]), C3 = C1 + C2 = C([0,15]), and C∩ = C1 ∩ C2 = C([1022,16]) based on
- linear OA(3233, 1023, F32, 17) (dual of [1023, 990, 18]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,15}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(3233, 1023, F32, 17) (dual of [1023, 990, 18]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(3235, 1023, F32, 18) (dual of [1023, 988, 19]-code), using the primitive BCH-code C(I) with length 1023 = 322−1, defining interval I = {−1,0,…,16}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(3231, 1023, F32, 16) (dual of [1023, 992, 17]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [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(859, 1027, S8, 18) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(1644, 1027, S16, 18) | [i] | ||
| 3 | Linear OA(32105, 2054, F32, 37) (dual of [2054, 1949, 38]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3244, 1060, F32, 18) (dual of [1060, 1016, 19]-code) | [i] | ||
| 5 | Linear OA(3245, 1071, F32, 18) (dual of [1071, 1026, 19]-code) | [i] | ||
| 6 | Linear OA(3246, 1073, F32, 18) (dual of [1073, 1027, 19]-code) | [i] | ||
| 7 | Linear OA(3247, 1091, F32, 18) (dual of [1091, 1044, 19]-code) | [i] | ||
| 8 | Linear OA(3248, 1093, F32, 18) (dual of [1093, 1045, 19]-code) | [i] | ||
| 9 | Linear OA(3249, 1104, F32, 18) (dual of [1104, 1055, 19]-code) | [i] | ||
| 10 | Linear OA(3250, 1124, F32, 18) (dual of [1124, 1074, 19]-code) | [i] | ||
| 11 | Linear OA(3251, 1126, F32, 18) (dual of [1126, 1075, 19]-code) | [i] | ||
| 12 | Linear OA(3240, 1058, F32, 18) (dual of [1058, 1018, 19]-code) | [i] | Varšamov–Edel Lengthening | |
| 13 | Linear OA(3241, 1115, F32, 18) (dual of [1115, 1074, 19]-code) | [i] | ||
| 14 | Linear OA(3242, 1254, F32, 18) (dual of [1254, 1212, 19]-code) | [i] | ||
| 15 | Linear OA(3243, 1499, F32, 18) (dual of [1499, 1456, 19]-code) | [i] | ||
| 16 | Linear OA(3244, 1830, F32, 18) (dual of [1830, 1786, 19]-code) | [i] | ||