Information on Result #1014565
Linear OOA(8163, 5592430, F8, 3, 15) (dual of [(5592430, 3), 16777127, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(850, 5592402, F8, 3, 7) (dual of [(5592402, 3), 16777156, 8]-NRT-code), using
- trace code [i] based on linear OOA(6425, 2796201, F64, 3, 7) (dual of [(2796201, 3), 8388578, 8]-NRT-code), using
- OOA 3-folding [i] 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]
- OOA 3-folding [i] based on linear OA(6425, large, F64, 7) (dual of [large, large−25, 8]-code), using
- trace code [i] based on linear OOA(6425, 2796201, F64, 3, 7) (dual of [(2796201, 3), 8388578, 8]-NRT-code), using
- linear OOA(8113, 2796215, F8, 3, 15) (dual of [(2796215, 3), 8388532, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(88, 14, F8, 3, 7) (dual of [(14, 3), 34, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,34P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OOA(8105, 2796201, F8, 3, 15) (dual of [(2796201, 3), 8388498, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8105, large, F8, 15) (dual of [large, large−105, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- OOA 3-folding [i] based on linear OA(8105, large, F8, 15) (dual of [large, large−105, 16]-code), using
- linear OOA(88, 14, F8, 3, 7) (dual of [(14, 3), 34, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
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.