Information on Result #1192152
Digital (143, 161, 1864191)-net over F8, using net defined by OOA based on linear OOA(8161, 1864191, F8, 21, 18) (dual of [(1864191, 21), 39147850, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8161, 5592574, F8, 3, 18) (dual of [(5592574, 3), 16777561, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(823, 172, F8, 3, 9) (dual of [(172, 3), 493, 10]-NRT-code), using
- OOA 3-folding [i] based on linear OA(823, 516, F8, 9) (dual of [516, 493, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- linear OA(822, 512, F8, 9) (dual of [512, 490, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(819, 512, F8, 7) (dual of [512, 493, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(81, 4, F8, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(6) [i] based on
- OOA 3-folding [i] based on linear OA(823, 516, F8, 9) (dual of [516, 493, 10]-code), using
- linear OOA(8138, 5592402, F8, 3, 18) (dual of [(5592402, 3), 16777068, 19]-NRT-code), using
- trace code [i] based on linear OOA(6469, 2796201, F64, 3, 18) (dual of [(2796201, 3), 8388534, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(6469, large, F64, 18) (dual of [large, large−69, 19]-code), using
- trace code [i] based on linear OOA(6469, 2796201, F64, 3, 18) (dual of [(2796201, 3), 8388534, 19]-NRT-code), using
- linear OOA(823, 172, F8, 3, 9) (dual of [(172, 3), 493, 10]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.