Information on Result #698463
Linear OA(6453, 262151, F64, 18) (dual of [262151, 262098, 19]-code), using construction X applied to Ce(17) ⊂ Ce(15) based on
- linear OA(6452, 262144, F64, 18) (dual of [262144, 262092, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(6446, 262144, F64, 16) (dual of [262144, 262098, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(641, 7, F64, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 | OA(1680, 262151, S16, 18) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3264, 262151, S32, 18) | [i] | ||
| 3 | Linear OA(6463, 262231, F64, 18) (dual of [262231, 262168, 19]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OOA(6453, 131075, F64, 2, 18) (dual of [(131075, 2), 262097, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(6453, 87383, F64, 3, 18) (dual of [(87383, 3), 262096, 19]-NRT-code) | [i] | ||