Information on Result #1014466
Linear OOA(8138, 5592430, F8, 3, 13) (dual of [(5592430, 3), 16777152, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(842, 5592402, F8, 3, 6) (dual of [(5592402, 3), 16777164, 7]-NRT-code), using
- trace code [i] based on linear OOA(6421, 2796201, F64, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-code), using
- trace code [i] based on linear OOA(6421, 2796201, F64, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
- linear OOA(896, 2796215, F8, 3, 13) (dual of [(2796215, 3), 8388549, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(87, 14, F8, 3, 6) (dual of [(14, 3), 35, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,35P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OOA(889, 2796201, F8, 3, 13) (dual of [(2796201, 3), 8388514, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(889, large, F8, 13) (dual of [large, large−89, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
- OOA 3-folding [i] based on linear OA(889, large, F8, 13) (dual of [large, large−89, 14]-code), using
- linear OOA(87, 14, F8, 3, 6) (dual of [(14, 3), 35, 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.