Information on Result #903736
Linear OOA(6473, 4196415, F64, 2, 15) (dual of [(4196415, 2), 8392757, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6416, 2114, F64, 2, 7) (dual of [(2114, 2), 4212, 8]-NRT-code), using
- (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(6413, 2049, F64, 2, 7) (dual of [(2049, 2), 4085, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6413, 4098, F64, 7) (dual of [4098, 4085, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- 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(6411, 4096, F64, 6) (dual of [4096, 4085, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(6) ⊂ Ce(5) [i] based on
- OOA 2-folding [i] based on linear OA(6413, 4098, F64, 7) (dual of [4098, 4085, 8]-code), using
- linear OOA(643, 65, F64, 2, 3) (dual of [(65, 2), 127, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6457, 4194301, F64, 2, 15) (dual of [(4194301, 2), 8388545, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6457, 8388602, F64, 15) (dual of [8388602, 8388545, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6457, large, F64, 15) (dual of [large, large−57, 16]-code), using
- OOA 2-folding [i] based on linear OA(6457, 8388602, F64, 15) (dual of [8388602, 8388545, 16]-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.