Information on Result #1838751
OOA(12874, 2097429, S128, 4, 18), using (u, u+v)-construction based on
- linear OOA(12814, 279, F128, 4, 9) (dual of [(279, 4), 1102, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1284, 129, F128, 4, 4) (dual of [(129, 4), 512, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;512,128) [i]
- linear OOA(12810, 150, F128, 4, 9) (dual of [(150, 4), 590, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,590P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(1284, 129, F128, 4, 4) (dual of [(129, 4), 512, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA(12860, 2097150, S128, 4, 18), using
- OOA 4-folding [i] based on OA(12860, 8388600, S128, 18), using
- discarding factors based on OA(12860, large, S128, 18), using
- discarding parts of the base [i] based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding parts of the base [i] based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-code), using
- discarding factors based on OA(12860, large, S128, 18), using
- OOA 4-folding [i] based on OA(12860, 8388600, S128, 18), using
Mode: Constructive.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.