Information on Result #1017962
Linear OOA(6484, 2797632, F64, 3, 17) (dual of [(2797632, 3), 8392812, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6419, 1431, F64, 3, 8) (dual of [(1431, 3), 4274, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(644, 65, F64, 3, 4) (dual of [(65, 3), 191, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;191,64) [i]
- linear OOA(6415, 1366, F64, 3, 8) (dual of [(1366, 3), 4083, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6415, 4098, F64, 8) (dual of [4098, 4083, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(6415, 4096, F64, 8) (dual of [4096, 4081, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(6413, 4096, F64, 7) (dual of [4096, 4083, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(7) ⊂ Ce(6) [i] based on
- OOA 3-folding [i] based on linear OA(6415, 4098, F64, 8) (dual of [4098, 4083, 9]-code), using
- linear OOA(644, 65, F64, 3, 4) (dual of [(65, 3), 191, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6465, 2796201, F64, 3, 17) (dual of [(2796201, 3), 8388538, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6465, large, F64, 17) (dual of [large, large−65, 18]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.