Information on Result #1022476
Linear OOA(6453, 1561, F64, 3, 19) (dual of [(1561, 3), 4630, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6416, 195, F64, 3, 9) (dual of [(195, 3), 569, 10]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(643, 65, F64, 3, 3) (dual of [(65, 3), 192, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;192,64) [i]
- linear OOA(644, 65, F64, 3, 4) (dual of [(65, 3), 191, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;191,64) [i]
- linear OOA(649, 65, F64, 3, 9) (dual of [(65, 3), 186, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;186,64) [i]
- linear OOA(643, 65, F64, 3, 3) (dual of [(65, 3), 192, 4]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(6437, 1366, F64, 3, 19) (dual of [(1366, 3), 4061, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6437, 4098, F64, 19) (dual of [4098, 4061, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(6437, 4096, F64, 19) (dual of [4096, 4059, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(6435, 4096, F64, 18) (dual of [4096, 4061, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- OOA 3-folding [i] based on linear OA(6437, 4098, F64, 19) (dual of [4098, 4061, 20]-code), 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 | Linear OOA(6453, 520, F64, 21, 19) (dual of [(520, 21), 10867, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |