Information on Result #1083253
Linear OOA(12853, 4417, F128, 4, 19) (dual of [(4417, 4), 17615, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12816, 321, F128, 4, 9) (dual of [(321, 4), 1268, 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(12812, 192, F128, 4, 9) (dual of [(192, 4), 756, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,758P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OOA(1284, 129, F128, 4, 4) (dual of [(129, 4), 512, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(12837, 4096, F128, 4, 19) (dual of [(4096, 4), 16347, 20]-NRT-code), using
- OOA 4-folding [i] based on linear OA(12837, 16384, F128, 19) (dual of [16384, 16347, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 4-folding [i] based on linear OA(12837, 16384, F128, 19) (dual of [16384, 16347, 20]-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
None.