Information on Result #1195502
Digital (72, 93, 13112)-net over F16, using net defined by OOA based on linear OOA(1693, 13112, F16, 22, 21) (dual of [(13112, 22), 288371, 22]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(1693, 65561, F16, 2, 21) (dual of [(65561, 2), 131029, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1693, 65562, F16, 2, 21) (dual of [(65562, 2), 131031, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1611, 24, F16, 2, 10) (dual of [(24, 2), 37, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,37P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- linear OOA(1682, 65538, F16, 2, 21) (dual of [(65538, 2), 130994, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1682, 131076, F16, 21) (dual of [131076, 130994, 22]-code), using
- trace code [i] based on linear OA(25641, 65538, F256, 21) (dual of [65538, 65497, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(25641, 65536, F256, 21) (dual of [65536, 65495, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(20) ⊂ Ce(19) [i] based on
- trace code [i] based on linear OA(25641, 65538, F256, 21) (dual of [65538, 65497, 22]-code), using
- OOA 2-folding [i] based on linear OA(1682, 131076, F16, 21) (dual of [131076, 130994, 22]-code), using
- linear OOA(1611, 24, F16, 2, 10) (dual of [(24, 2), 37, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(1693, 65562, F16, 2, 21) (dual of [(65562, 2), 131031, 22]-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.