Information on Result #732091
Linear OA(1663, 4148, F16, 18) (dual of [4148, 4085, 19]-code), using (u, u+v)-construction based on
- linear OA(1614, 49, F16, 9) (dual of [49, 35, 10]-code), using
- extended algebraic-geometric code AGe(F,39P) [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
- linear OA(1649, 4099, F16, 18) (dual of [4099, 4050, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(1649, 4096, F16, 18) (dual of [4096, 4047, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(1646, 4096, F16, 17) (dual of [4096, 4050, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(160, 3, F16, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
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(1663, 2074, F16, 2, 18) (dual of [(2074, 2), 4085, 19]-NRT-code) | [i] | OOA Folding | |