Information on Result #1798566
Digital (79, 95, 1062898)-net over F9, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(995, 1062898, F9, 16) (dual of [1062898, 1062803, 17]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(994, 1062896, F9, 16) (dual of [1062896, 1062802, 17]-code), using
- trace code [i] based on linear OA(8147, 531448, F81, 16) (dual of [531448, 531401, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- linear OA(8146, 531441, F81, 16) (dual of [531441, 531395, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(8140, 531441, F81, 14) (dual of [531441, 531401, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(811, 7, F81, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(13) [i] based on
- trace code [i] based on linear OA(8147, 531448, F81, 16) (dual of [531448, 531401, 17]-code), using
- linear OA(994, 1062897, F9, 15) (dual of [1062897, 1062803, 16]-code), using Gilbert–Varšamov bound and bm = 994 > Vbs−1(k−1) = 118 491123 120095 375458 514502 226374 386761 423750 325915 614839 347930 475070 169853 559416 209793 [i]
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(994, 1062896, F9, 16) (dual of [1062896, 1062802, 17]-code), using
Mode: 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.