Information on Result #1016087
Linear OOA(9130, 5592434, F9, 3, 12) (dual of [(5592434, 3), 16777172, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(942, 5592402, F9, 3, 6) (dual of [(5592402, 3), 16777164, 7]-NRT-code), using
- trace code [i] based on linear OOA(8121, 2796201, F81, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8121, large, F81, 6) (dual of [large, large−21, 7]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(8121, large, F81, 6) (dual of [large, large−21, 7]-code), using
- trace code [i] based on linear OOA(8121, 2796201, F81, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
- linear OOA(988, 2796217, F9, 3, 12) (dual of [(2796217, 3), 8388563, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(97, 16, F9, 3, 6) (dual of [(16, 3), 41, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,41P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- linear OOA(981, 2796201, F9, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(981, large, F9, 12) (dual of [large, large−81, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 98−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(981, large, F9, 12) (dual of [large, large−81, 13]-code), using
- linear OOA(97, 16, F9, 3, 6) (dual of [(16, 3), 41, 7]-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.