Information on Result #1145111
Linear OOA(25665, 1414741, F256, 6, 16) (dual of [(1414741, 6), 8488381, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25619, 16641, F256, 6, 8) (dual of [(16641, 6), 99827, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2564, 257, F256, 6, 4) (dual of [(257, 6), 1538, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(6;1538,256) [i]
- linear OOA(25615, 16384, F256, 6, 8) (dual of [(16384, 6), 98289, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(25615, 65536, F256, 8) (dual of [65536, 65521, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- OA 4-folding and stacking [i] based on linear OA(25615, 65536, F256, 8) (dual of [65536, 65521, 9]-code), using
- linear OOA(2564, 257, F256, 6, 4) (dual of [(257, 6), 1538, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25646, 1398100, F256, 6, 16) (dual of [(1398100, 6), 8388554, 17]-NRT-code), using
- OOA 6-folding [i] based on linear OA(25646, 8388600, F256, 16) (dual of [8388600, 8388554, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- OOA 6-folding [i] based on linear OA(25646, 8388600, F256, 16) (dual of [8388600, 8388554, 17]-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.
Other Results with Identical Parameters
None.
Depending Results
None.