Information on Result #1018729
Linear OOA(8141, 2387, F81, 3, 15) (dual of [(2387, 3), 7120, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8112, 200, F81, 3, 7) (dual of [(200, 3), 588, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(814, 6562, F81, 3, 3) (dual of [(6562, 3), 19682, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(814, 6562, F81, 2, 3) (dual of [(6562, 2), 13120, 4]-NRT-code), using
- linear OOA(818, 100, F81, 3, 7) (dual of [(100, 3), 292, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,292P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(814, 6562, F81, 3, 3) (dual of [(6562, 3), 19682, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8129, 2187, F81, 3, 15) (dual of [(2187, 3), 6532, 16]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8129, 6561, F81, 15) (dual of [6561, 6532, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- OOA 3-folding [i] based on linear OA(8129, 6561, F81, 15) (dual of [6561, 6532, 16]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.