Information on Result #1195134
Digital (44, 57, 21853)-net over F16, using net defined by OOA based on linear OOA(1657, 21853, F16, 14, 13) (dual of [(21853, 14), 305885, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(1657, 65560, F16, 2, 13) (dual of [(65560, 2), 131063, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1657, 65562, F16, 2, 13) (dual of [(65562, 2), 131067, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(167, 24, F16, 2, 6) (dual of [(24, 2), 41, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,41P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OOA(1650, 65538, F16, 2, 13) (dual of [(65538, 2), 131026, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1650, 131076, F16, 13) (dual of [131076, 131026, 14]-code), using
- trace code [i] based on linear OA(25625, 65538, F256, 13) (dual of [65538, 65513, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(25625, 65536, F256, 13) (dual of [65536, 65511, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(25623, 65536, F256, 12) (dual of [65536, 65513, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- trace code [i] based on linear OA(25625, 65538, F256, 13) (dual of [65538, 65513, 14]-code), using
- OOA 2-folding [i] based on linear OA(1650, 131076, F16, 13) (dual of [131076, 131026, 14]-code), using
- linear OOA(167, 24, F16, 2, 6) (dual of [(24, 2), 41, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(1657, 65562, F16, 2, 13) (dual of [(65562, 2), 131067, 14]-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.