Information on Result #1083386
Linear OOA(12868, 4375, F128, 4, 25) (dual of [(4375, 4), 17432, 26]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12819, 279, F128, 4, 12) (dual of [(279, 4), 1097, 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(12813, 150, F128, 4, 12) (dual of [(150, 4), 587, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,587P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, 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(12868, 1458, F128, 28, 25) (dual of [(1458, 28), 40756, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |