Information on Result #1118880
Linear OOA(25668, 1694361, F256, 5, 17) (dual of [(1694361, 5), 8471737, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25619, 16641, F256, 5, 8) (dual of [(16641, 5), 83186, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2564, 257, F256, 5, 4) (dual of [(257, 5), 1281, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(5;1281,256) [i]
- linear OOA(25615, 16384, F256, 5, 8) (dual of [(16384, 5), 81905, 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, 5, 4) (dual of [(257, 5), 1281, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25649, 1677720, F256, 5, 17) (dual of [(1677720, 5), 8388551, 18]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25649, 8388600, F256, 17) (dual of [8388600, 8388551, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- OOA 5-folding [i] based on linear OA(25649, 8388600, F256, 17) (dual of [8388600, 8388551, 18]-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.