Information on Result #1203370
Digital (19, 31, 2806)-net over F128, using net defined by OOA based on linear OOA(12831, 2806, F128, 15, 12) (dual of [(2806, 15), 42059, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(12831, 5613, F128, 3, 12) (dual of [(5613, 3), 16808, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1287, 150, F128, 3, 6) (dual of [(150, 3), 443, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,443P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12824, 5463, F128, 3, 12) (dual of [(5463, 3), 16365, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12824, 16389, F128, 12) (dual of [16389, 16365, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- linear OA(12823, 16384, F128, 12) (dual of [16384, 16361, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(12819, 16384, F128, 10) (dual of [16384, 16365, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(9) [i] based on
- OOA 3-folding [i] based on linear OA(12824, 16389, F128, 12) (dual of [16389, 16365, 13]-code), using
- linear OOA(1287, 150, F128, 3, 6) (dual of [(150, 3), 443, 7]-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.