Information on Result #898897
Linear OOA(16121, 2117, F16, 2, 35) (dual of [(2117, 2), 4113, 36]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1623, 65, F16, 2, 17) (dual of [(65, 2), 107, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,112P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric NRT-code AGe(2;F,112P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OOA(1698, 2052, F16, 2, 35) (dual of [(2052, 2), 4006, 36]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1698, 4104, F16, 35) (dual of [4104, 4006, 36]-code), using
- construction X applied to C([0,17]) ⊂ C([0,16]) [i] based on
- linear OA(1697, 4097, F16, 35) (dual of [4097, 4000, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(1691, 4097, F16, 33) (dual of [4097, 4006, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(161, 7, F16, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,17]) ⊂ C([0,16]) [i] based on
- OOA 2-folding [i] based on linear OA(1698, 4104, F16, 35) (dual of [4104, 4006, 36]-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(16122, 2117, F16, 2, 35) (dual of [(2117, 2), 4112, 36]-NRT-code) | [i] | OOA Duplication | |