Information on Result #1205577
Digital (130, 142, 5592500)-net over F9, using trace code for nets based on digital (59, 71, 2796250)-net over F81, using
- net defined by OOA [i] based on linear OOA(8171, 2796250, F81, 15, 12) (dual of [(2796250, 15), 41943679, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(8171, 5592501, F81, 3, 12) (dual of [(5592501, 3), 16777432, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8171, 5592502, F81, 3, 12) (dual of [(5592502, 3), 16777435, 13]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(815, 100, F81, 3, 4) (dual of [(100, 3), 295, 5]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,295P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- 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
- linear OOA(8145, 2796201, F81, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(8145, large, F81, 12) (dual of [large, large−45, 13]-code), using
- linear OOA(815, 100, F81, 3, 4) (dual of [(100, 3), 295, 5]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8171, 5592502, F81, 3, 12) (dual of [(5592502, 3), 16777435, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(8171, 5592501, F81, 3, 12) (dual of [(5592501, 3), 16777432, 13]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.