Information on Result #1196496
Digital (80, 96, 1048737)-net over F25, using net defined by OOA based on linear OOA(2596, 1048737, F25, 18, 16) (dual of [(1048737, 18), 18877170, 17]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2596, 4194949, F25, 2, 16) (dual of [(4194949, 2), 8389802, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2596, 4194951, F25, 2, 16) (dual of [(4194951, 2), 8389806, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2520, 650, F25, 2, 8) (dual of [(650, 2), 1280, 9]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(250, s, F25, 2, 0) for arbitrarily large s, using
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code) (see above)
- linear OOA(251, 26, F25, 2, 1) (dual of [(26, 2), 51, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(251, s, F25, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(251, s, F25, 2, 1) for arbitrarily large s, using
- linear OOA(251, 26, F25, 2, 1) (dual of [(26, 2), 51, 2]-NRT-code) (see above)
- linear OOA(251, 26, F25, 2, 1) (dual of [(26, 2), 51, 2]-NRT-code) (see above)
- linear OOA(251, 26, F25, 2, 1) (dual of [(26, 2), 51, 2]-NRT-code) (see above)
- linear OOA(252, 26, F25, 2, 2) (dual of [(26, 2), 50, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;50,25) [i]
- linear OOA(252, 26, F25, 2, 2) (dual of [(26, 2), 50, 3]-NRT-code) (see above)
- linear OOA(254, 26, F25, 2, 4) (dual of [(26, 2), 48, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;48,25) [i]
- linear OOA(258, 26, F25, 2, 8) (dual of [(26, 2), 44, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;44,25) [i]
- linear OOA(250, 26, F25, 2, 0) (dual of [(26, 2), 52, 1]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2576, 4194301, F25, 2, 16) (dual of [(4194301, 2), 8388526, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2576, 8388602, F25, 16) (dual of [8388602, 8388526, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2576, large, F25, 16) (dual of [large, large−76, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(2576, large, F25, 16) (dual of [large, large−76, 17]-code), using
- OOA 2-folding [i] based on linear OA(2576, 8388602, F25, 16) (dual of [8388602, 8388526, 17]-code), using
- linear OOA(2520, 650, F25, 2, 8) (dual of [(650, 2), 1280, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2596, 4194951, F25, 2, 16) (dual of [(4194951, 2), 8389806, 17]-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.