Information on Result #1017973
Linear OOA(6444, 1431, F64, 3, 18) (dual of [(1431, 3), 4249, 19]-NRT-code), using (u, u+v)-construction based on
- 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(6435, 1366, F64, 3, 18) (dual of [(1366, 3), 4063, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6435, 4098, F64, 18) (dual of [4098, 4063, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- 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(6433, 4096, F64, 17) (dual of [4096, 4063, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(17) ⊂ Ce(16) [i] based on
- OOA 3-folding [i] based on linear OA(6435, 4098, F64, 18) (dual of [4098, 4063, 19]-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(6444, 476, F64, 21, 18) (dual of [(476, 21), 9952, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |