Information on Result #2521003
Linear OOA(6479, 8388602, F64, 2, 14) (dual of [(8388602, 2), 16777125, 15]-NRT-code), using 641 times duplication based on linear OOA(6478, 8388602, F64, 2, 14) (dual of [(8388602, 2), 16777126, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6425, 4194301, F64, 2, 7) (dual of [(4194301, 2), 8388577, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6425, 8388602, F64, 7) (dual of [8388602, 8388577, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(6425, large, F64, 7) (dual of [large, large−25, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6425, large, F64, 7) (dual of [large, large−25, 8]-code), using
- OOA 2-folding [i] based on linear OA(6425, 8388602, F64, 7) (dual of [8388602, 8388577, 8]-code), using
- linear OOA(6453, 4194301, F64, 2, 14) (dual of [(4194301, 2), 8388549, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6453, 8388602, F64, 14) (dual of [8388602, 8388549, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(6453, large, F64, 14) (dual of [large, large−53, 15]-code), using
- OOA 2-folding [i] based on linear OA(6453, 8388602, F64, 14) (dual of [8388602, 8388549, 15]-code), using
- linear OOA(6425, 4194301, F64, 2, 7) (dual of [(4194301, 2), 8388577, 8]-NRT-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.