Information on Result #1190802
Digital (77, 96, 1877)-net over F7, using net defined by OOA based on linear OOA(796, 1877, F7, 21, 19) (dual of [(1877, 21), 39321, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(796, 5632, F7, 3, 19) (dual of [(5632, 3), 16800, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(715, 28, F7, 3, 9) (dual of [(28, 3), 69, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 15, 28)-net over F7, using
- linear OOA(781, 5604, F7, 3, 19) (dual of [(5604, 3), 16731, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(781, 16812, F7, 19) (dual of [16812, 16731, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(781, 16807, F7, 19) (dual of [16807, 16726, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(776, 16807, F7, 18) (dual of [16807, 16731, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(70, 5, F7, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- OOA 3-folding [i] based on linear OA(781, 16812, F7, 19) (dual of [16812, 16731, 20]-code), using
- linear OOA(715, 28, F7, 3, 9) (dual of [(28, 3), 69, 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.