Information on Result #734947
Linear OA(6483, 262464, F64, 22) (dual of [262464, 262381, 23]-code), using (u, u+v)-construction based on
- linear OA(6419, 317, F64, 11) (dual of [317, 298, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(6419, 316, F64, 11) (dual of [316, 297, 12]-code), using an extension Ce(10) of the narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(6418, 316, F64, 10) (dual of [316, 298, 11]-code), using an extension Ce(9) of the narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(640, 1, F64, 0) (dual of [1, 1, 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(10) ⊂ Ce(9) [i] based on
- linear OA(6464, 262147, F64, 22) (dual of [262147, 262083, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(6464, 262144, F64, 22) (dual of [262144, 262080, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(6461, 262144, F64, 21) (dual of [262144, 262083, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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 (see above)
- construction X applied to Ce(21) ⊂ Ce(20) [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(6483, 131232, F64, 2, 22) (dual of [(131232, 2), 262381, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6483, 87488, F64, 3, 22) (dual of [(87488, 3), 262381, 23]-NRT-code) | [i] | ||