Information on Result #2699475
Linear OOA(8127, 2796229, F8, 3, 17) (dual of [(2796229, 3), 8388560, 18]-NRT-code), using 81 times duplication based on linear OOA(8126, 2796229, F8, 3, 17) (dual of [(2796229, 3), 8388561, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(813, 28, F8, 3, 8) (dual of [(28, 3), 71, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,75P) [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
- linear OOA(8113, 2796201, F8, 3, 17) (dual of [(2796201, 3), 8388490, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8113, large, F8, 17) (dual of [large, large−113, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, 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(8113, large, F8, 17) (dual of [large, large−113, 18]-code), using
- linear OOA(813, 28, F8, 3, 8) (dual of [(28, 3), 71, 9]-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.