Information on Result #1199168
Digital (59, 71, 1398455)-net over F32, using net defined by OOA based on linear OOA(3271, 1398455, F32, 14, 12) (dual of [(1398455, 14), 19578299, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3271, 4195366, F32, 2, 12) (dual of [(4195366, 2), 8390661, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3271, 4195368, F32, 2, 12) (dual of [(4195368, 2), 8390665, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(3215, 1067, F32, 2, 6) (dual of [(1067, 2), 2119, 7]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(320, s, F32, 2, 0) for arbitrarily large s, using
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code) (see above)
- linear OOA(321, 33, F32, 2, 1) (dual of [(33, 2), 65, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(321, s, F32, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(321, s, F32, 2, 1) for arbitrarily large s, using
- linear OOA(321, 33, F32, 2, 1) (dual of [(33, 2), 65, 2]-NRT-code) (see above)
- linear OOA(321, 33, F32, 2, 1) (dual of [(33, 2), 65, 2]-NRT-code) (see above)
- linear OOA(322, 33, F32, 2, 2) (dual of [(33, 2), 64, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;64,32) [i]
- linear OOA(323, 33, F32, 2, 3) (dual of [(33, 2), 63, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;63,32) [i]
- linear OOA(327, 44, F32, 2, 6) (dual of [(44, 2), 81, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,81P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(320, 33, F32, 2, 0) (dual of [(33, 2), 66, 1]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(3256, 4194301, F32, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3256, 8388602, F32, 12) (dual of [8388602, 8388546, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3256, large, F32, 12) (dual of [large, large−56, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(3256, large, F32, 12) (dual of [large, large−56, 13]-code), using
- OOA 2-folding [i] based on linear OA(3256, 8388602, F32, 12) (dual of [8388602, 8388546, 13]-code), using
- linear OOA(3215, 1067, F32, 2, 6) (dual of [(1067, 2), 2119, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3271, 4195368, F32, 2, 12) (dual of [(4195368, 2), 8390665, 13]-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.