Information on Result #1190010
Digital (72, 81, 2884502)-net over F7, using net defined by OOA based on linear OOA(781, 2884502, F7, 10, 9) (dual of [(2884502, 10), 28844939, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(781, 5769005, F7, 2, 9) (dual of [(5769005, 2), 11537929, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(715, 4201, F7, 2, 4) (dual of [(4201, 2), 8387, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(715, 8402, F7, 4) (dual of [8402, 8387, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(715, 8403, F7, 4) (dual of [8403, 8388, 5]-code), using
- OOA 2-folding [i] based on linear OA(715, 8402, F7, 4) (dual of [8402, 8387, 5]-code), using
- linear OOA(766, 5764804, F7, 2, 9) (dual of [(5764804, 2), 11529542, 10]-NRT-code), using
- trace code [i] based on linear OOA(4933, 2882402, F49, 2, 9) (dual of [(2882402, 2), 5764771, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4933, 5764804, F49, 9) (dual of [5764804, 5764771, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(4933, 5764805, F49, 9) (dual of [5764805, 5764772, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(4933, 5764801, F49, 9) (dual of [5764801, 5764768, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(4929, 5764801, F49, 8) (dual of [5764801, 5764772, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(490, 4, F49, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(4933, 5764805, F49, 9) (dual of [5764805, 5764772, 10]-code), using
- OOA 2-folding [i] based on linear OA(4933, 5764804, F49, 9) (dual of [5764804, 5764771, 10]-code), using
- trace code [i] based on linear OOA(4933, 2882402, F49, 2, 9) (dual of [(2882402, 2), 5764771, 10]-NRT-code), using
- linear OOA(715, 4201, F7, 2, 4) (dual of [(4201, 2), 8387, 5]-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.