Information on Result #1018294
Linear OOA(6488, 1559, F64, 3, 31) (dual of [(1559, 3), 4589, 32]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6427, 193, F64, 3, 15) (dual of [(193, 3), 552, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(647, 65, F64, 3, 7) (dual of [(65, 3), 188, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;188,64) [i]
- linear OOA(6420, 128, F64, 3, 15) (dual of [(128, 3), 364, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,368P) [i] based on function field F/F64 with g(F) = 5 and N(F) ≥ 128, using
- linear OOA(647, 65, F64, 3, 7) (dual of [(65, 3), 188, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6461, 1366, F64, 3, 31) (dual of [(1366, 3), 4037, 32]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6461, 4098, F64, 31) (dual of [4098, 4037, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- linear OA(6461, 4096, F64, 31) (dual of [4096, 4035, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(6459, 4096, F64, 30) (dual of [4096, 4037, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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 Ce(30) ⊂ Ce(29) [i] based on
- OOA 3-folding [i] based on linear OA(6461, 4098, F64, 31) (dual of [4098, 4037, 32]-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.