Information on Result #906972
Linear OOA(6433, large, F64, 2, 7), using generalized (u, u+v)-construction based on
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(640, s, F64, 2, 0) for arbitrarily large s, using
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(640, 131073, F64, 2, 0) (dual of [(131073, 2), 262146, 1]-NRT-code) (see above)
- linear OOA(641, 131073, F64, 2, 1) (dual of [(131073, 2), 262145, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(641, s, F64, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(641, s, F64, 2, 1) for arbitrarily large s, using
- linear OOA(641, 131073, F64, 2, 1) (dual of [(131073, 2), 262145, 2]-NRT-code) (see above)
- linear OOA(641, 131073, F64, 2, 1) (dual of [(131073, 2), 262145, 2]-NRT-code) (see above)
- linear OOA(641, 131073, F64, 2, 1) (dual of [(131073, 2), 262145, 2]-NRT-code) (see above)
- linear OOA(644, 131073, F64, 2, 2) (dual of [(131073, 2), 262142, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(644, 266305, F64, 2, 2) (dual of [(266305, 2), 532606, 3]-NRT-code), using
- appending kth column [i] based on linear OA(644, 266305, F64, 2) (dual of [266305, 266301, 3]-code), using
- Hamming code H(4,64) [i]
- appending kth column [i] based on linear OA(644, 266305, F64, 2) (dual of [266305, 266301, 3]-code), using
- discarding factors / shortening the dual code based on linear OOA(644, 266305, F64, 2, 2) (dual of [(266305, 2), 532606, 3]-NRT-code), using
- linear OOA(646, 131073, F64, 2, 3) (dual of [(131073, 2), 262140, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(646, 270402, F64, 2, 3) (dual of [(270402, 2), 540798, 4]-NRT-code), using
- linear OOA(6419, 131073, F64, 2, 7) (dual of [(131073, 2), 262127, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6419, 262146, F64, 7) (dual of [262146, 262127, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(6419, 262147, F64, 7) (dual of [262147, 262128, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(6419, 262144, F64, 7) (dual of [262144, 262125, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(6416, 262144, F64, 6) (dual of [262144, 262128, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 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(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(6419, 262147, F64, 7) (dual of [262147, 262128, 8]-code), using
- OOA 2-folding [i] based on linear OA(6419, 262146, F64, 7) (dual of [262146, 262127, 8]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(6433, large, F64, 2, 6) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(6433, large, F64, 2, 5) | [i] | ||
| 3 | Linear OOA(6433, large, F64, 2, 4) | [i] | ||
| 4 | Linear OOA(6433, large, F64, 2, 3) | [i] | ||
| 5 | Linear OOA(6435, large, F64, 2, 7) | [i] | NRT-Code Embedding in Larger Space | |
| 6 | Linear OOA(6437, large, F64, 2, 7) | [i] | ||
| 7 | Linear OOA(6439, large, F64, 2, 7) | [i] | ||
| 8 | Linear OOA(6441, large, F64, 2, 7) | [i] | ||
| 9 | Linear OOA(6443, large, F64, 2, 7) | [i] | ||
| 10 | Linear OOA(6445, large, F64, 2, 7) | [i] | ||
| 11 | Linear OOA(6447, large, F64, 2, 7) | [i] | ||
| 12 | Linear OOA(6449, large, F64, 2, 7) | [i] | ||
| 13 | Linear OOA(6451, large, F64, 2, 7) | [i] | ||
| 14 | Linear OOA(6453, large, F64, 2, 7) | [i] | ||
| 15 | Linear OOA(6455, large, F64, 2, 7) | [i] | ||
| 16 | Linear OOA(6457, large, F64, 2, 7) | [i] | ||
| 17 | Linear OOA(6459, large, F64, 2, 7) | [i] | ||
| 18 | Linear OOA(6461, large, F64, 2, 7) | [i] | ||
| 19 | Linear OOA(6463, large, F64, 2, 7) | [i] | ||
| 20 | Linear OOA(6465, large, F64, 2, 7) | [i] | ||
| 21 | Linear OOA(6467, large, F64, 2, 7) | [i] | ||
| 22 | Linear OOA(6469, large, F64, 2, 7) | [i] | ||
| 23 | Linear OOA(6471, large, F64, 2, 7) | [i] | ||
| 24 | Linear OOA(6473, large, F64, 2, 7) | [i] | ||
| 25 | Linear OOA(6475, large, F64, 2, 7) | [i] | ||
| 26 | Linear OOA(6477, large, F64, 2, 7) | [i] | ||
| 27 | Linear OOA(6479, large, F64, 2, 7) | [i] | ||
| 28 | Linear OOA(6481, large, F64, 2, 7) | [i] | ||
| 29 | Linear OOA(6483, large, F64, 2, 7) | [i] | ||
| 30 | Linear OOA(6485, large, F64, 2, 7) | [i] | ||
| 31 | Linear OOA(6487, large, F64, 2, 7) | [i] | ||
| 32 | Linear OOA(6489, large, F64, 2, 7) | [i] | ||
| 33 | Linear OOA(6491, large, F64, 2, 7) | [i] | ||
| 34 | Linear OOA(6434, large, F64, 2, 7) | [i] | OOA Duplication | |
| 35 | OOA(3240, large, S32, 2, 7) | [i] | Discarding Parts of the Base for OOAs | |