Information on Result #906995
Linear OOA(6483, 131268, F64, 2, 22) (dual of [(131268, 2), 262453, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6419, 195, F64, 2, 11) (dual of [(195, 2), 371, 12]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(643, 65, F64, 2, 3) (dual of [(65, 2), 127, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;127,64) [i]
- linear OOA(645, 65, F64, 2, 5) (dual of [(65, 2), 125, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;125,64) [i]
- linear OOA(6411, 65, F64, 2, 11) (dual of [(65, 2), 119, 12]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;119,64) [i]
- linear OOA(643, 65, F64, 2, 3) (dual of [(65, 2), 127, 4]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(6464, 131073, F64, 2, 22) (dual of [(131073, 2), 262082, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6464, 262146, F64, 22) (dual of [262146, 262082, 23]-code), using
- discarding factors / shortening the dual code 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, using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- discarding factors / shortening the dual code based on linear OA(6464, 262147, F64, 22) (dual of [262147, 262083, 23]-code), using
- OOA 2-folding [i] based on linear OA(6464, 262146, F64, 22) (dual of [262146, 262082, 23]-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
None.