Information on Result #1083388
Linear OOA(12870, 4417, F128, 4, 25) (dual of [(4417, 4), 17598, 26]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12821, 321, F128, 4, 12) (dual of [(321, 4), 1263, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1286, 129, F128, 4, 6) (dual of [(129, 4), 510, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;510,128) [i]
- linear OOA(12815, 192, F128, 4, 12) (dual of [(192, 4), 753, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,755P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OOA(1286, 129, F128, 4, 6) (dual of [(129, 4), 510, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12849, 4096, F128, 4, 25) (dual of [(4096, 4), 16335, 26]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12849, 16384, F128, 25) (dual of [16384, 16335, 26]-code), using
- an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- OOA 4-folding [i] based on linear OA(12849, 16384, F128, 25) (dual of [16384, 16335, 26]-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(12870, 1472, F128, 28, 25) (dual of [(1472, 28), 41146, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |