Information on Result #1192648
Digital (98, 123, 2737)-net over F8, using net defined by OOA based on linear OOA(8123, 2737, F8, 27, 25) (dual of [(2737, 27), 73776, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(8123, 10949, F8, 3, 25) (dual of [(10949, 3), 32724, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8123, 10950, F8, 3, 25) (dual of [(10950, 3), 32727, 26]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(817, 28, F8, 3, 12) (dual of [(28, 3), 67, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,71P) [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
- linear OOA(8106, 10922, F8, 3, 25) (dual of [(10922, 3), 32660, 26]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8106, 32766, F8, 25) (dual of [32766, 32660, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using
- an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- discarding factors / shortening the dual code based on linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using
- OOA 3-folding [i] based on linear OA(8106, 32766, F8, 25) (dual of [32766, 32660, 26]-code), using
- linear OOA(817, 28, F8, 3, 12) (dual of [(28, 3), 67, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8123, 10950, F8, 3, 25) (dual of [(10950, 3), 32727, 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.