Information on Result #1118869
Linear OOA(25647, 13877, F256, 5, 17) (dual of [(13877, 5), 69338, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25614, 770, F256, 5, 8) (dual of [(770, 5), 3836, 9]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(25614, 771, F256, 4, 8) (dual of [(771, 4), 3070, 9]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(2562, 257, F256, 4, 2) (dual of [(257, 4), 1026, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1026,256) [i]
- linear OOA(2564, 257, F256, 4, 4) (dual of [(257, 4), 1024, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1024,256) [i]
- linear OOA(2568, 257, F256, 4, 8) (dual of [(257, 4), 1020, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1020,256) [i]
- linear OOA(2562, 257, F256, 4, 2) (dual of [(257, 4), 1026, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(25614, 771, F256, 4, 8) (dual of [(771, 4), 3070, 9]-NRT-code), using
- linear OOA(25633, 13107, F256, 5, 17) (dual of [(13107, 5), 65502, 18]-NRT-code), using
- OOA 5-folding [i] based on linear OA(25633, 65535, F256, 17) (dual of [65535, 65502, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using
- OOA 5-folding [i] based on linear OA(25633, 65535, F256, 17) (dual of [65535, 65502, 18]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.