Information on Result #734912
Linear OA(6465, 4685, F64, 23) (dual of [4685, 4620, 24]-code), using (u, u+v)-construction based on
- linear OA(6420, 587, F64, 11) (dual of [587, 567, 12]-code), using
- construction X applied to C([27,37]) ⊂ C([28,37]) [i] based on
- linear OA(6420, 585, F64, 11) (dual of [585, 565, 12]-code), using the BCH-code C(I) with length 585 | 642−1, defining interval I = {27,28,…,37}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(6418, 585, F64, 10) (dual of [585, 567, 11]-code), using the BCH-code C(I) with length 585 | 642−1, defining interval I = {28,29,…,37}, and designed minimum distance d ≥ |I|+1 = 11 [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 C([27,37]) ⊂ C([28,37]) [i] based on
- linear OA(6445, 4098, F64, 23) (dual of [4098, 4053, 24]-code), using
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
- linear OA(6445, 4096, F64, 23) (dual of [4096, 4051, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(6443, 4096, F64, 22) (dual of [4096, 4053, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code) (see above)
- construction X applied to Ce(22) ⊂ Ce(21) [i] based on
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(6465, 2342, F64, 2, 23) (dual of [(2342, 2), 4619, 24]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6465, 1561, F64, 3, 23) (dual of [(1561, 3), 4618, 24]-NRT-code) | [i] | ||