Information on Result #907175
Linear OOA(12847, 8580, F128, 2, 17) (dual of [(8580, 2), 17113, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12814, 387, F128, 2, 8) (dual of [(387, 2), 760, 9]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(1282, 129, F128, 2, 2) (dual of [(129, 2), 256, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;256,128) [i]
- linear OOA(1284, 129, F128, 2, 4) (dual of [(129, 2), 254, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;254,128) [i]
- linear OOA(1288, 129, F128, 2, 8) (dual of [(129, 2), 250, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;250,128) [i]
- linear OOA(1282, 129, F128, 2, 2) (dual of [(129, 2), 256, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(12833, 8193, F128, 2, 17) (dual of [(8193, 2), 16353, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12833, 16386, F128, 17) (dual of [16386, 16353, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(12833, 16384, F128, 17) (dual of [16384, 16351, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(12831, 16384, F128, 16) (dual of [16384, 16353, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- OOA 2-folding [i] based on linear OA(12833, 16386, F128, 17) (dual of [16386, 16353, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(12847, 4290, F128, 4, 17) (dual of [(4290, 4), 17113, 18]-NRT-code) | [i] | OOA Folding | |