Information on Result #905134
Linear OOA(12857, 8472, F128, 2, 21) (dual of [(8472, 2), 16887, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12816, 279, F128, 2, 10) (dual of [(279, 2), 542, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1285, 129, F128, 2, 5) (dual of [(129, 2), 253, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;253,128) [i]
- linear OOA(12811, 150, F128, 2, 10) (dual of [(150, 2), 289, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,289P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(1285, 129, F128, 2, 5) (dual of [(129, 2), 253, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12841, 8193, F128, 2, 21) (dual of [(8193, 2), 16345, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(12841, 16386, F128, 21) (dual of [16386, 16345, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(12841, 16384, F128, 21) (dual of [16384, 16343, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(12839, 16384, F128, 20) (dual of [16384, 16345, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(20) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(12841, 16386, F128, 21) (dual of [16386, 16345, 22]-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(12857, 4236, F128, 4, 21) (dual of [(4236, 4), 16887, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12857, 1694, F128, 22, 21) (dual of [(1694, 22), 37211, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |