Information on Result #1192352
Digital (128, 148, 838862)-net over F8, using net defined by OOA based on linear OOA(8148, 838862, F8, 22, 20) (dual of [(838862, 22), 18454816, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(8148, 4194311, F8, 2, 20) (dual of [(4194311, 2), 8388474, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8148, 4194315, F8, 2, 20) (dual of [(4194315, 2), 8388482, 21]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(811, 14, F8, 2, 10) (dual of [(14, 2), 17, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,17P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OOA(8137, 4194301, F8, 2, 20) (dual of [(4194301, 2), 8388465, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8137, 8388602, F8, 20) (dual of [8388602, 8388465, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(8137, large, F8, 20) (dual of [large, large−137, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(8137, large, F8, 20) (dual of [large, large−137, 21]-code), using
- OOA 2-folding [i] based on linear OA(8137, 8388602, F8, 20) (dual of [8388602, 8388465, 21]-code), using
- linear OOA(811, 14, F8, 2, 10) (dual of [(14, 2), 17, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8148, 4194315, F8, 2, 20) (dual of [(4194315, 2), 8388482, 21]-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.