Information on Result #1195656
Digital (88, 113, 10929)-net over F16, using net defined by OOA based on linear OOA(16113, 10929, F16, 26, 25) (dual of [(10929, 26), 284041, 26]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(16113, 65575, F16, 2, 25) (dual of [(65575, 2), 131037, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(16113, 65576, F16, 2, 25) (dual of [(65576, 2), 131039, 26]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1615, 38, F16, 2, 12) (dual of [(38, 2), 61, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,63P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- linear OOA(1698, 65538, F16, 2, 25) (dual of [(65538, 2), 130978, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1698, 131076, F16, 25) (dual of [131076, 130978, 26]-code), using
- trace code [i] based on linear OA(25649, 65538, F256, 25) (dual of [65538, 65489, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(25649, 65536, F256, 25) (dual of [65536, 65487, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(25647, 65536, F256, 24) (dual of [65536, 65489, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(24) ⊂ Ce(23) [i] based on
- trace code [i] based on linear OA(25649, 65538, F256, 25) (dual of [65538, 65489, 26]-code), using
- OOA 2-folding [i] based on linear OA(1698, 131076, F16, 25) (dual of [131076, 130978, 26]-code), using
- linear OOA(1615, 38, F16, 2, 12) (dual of [(38, 2), 61, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(16113, 65576, F16, 2, 25) (dual of [(65576, 2), 131039, 26]-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.