Information on Result #692409
Linear OA(16102, 4149, F16, 30) (dual of [4149, 4047, 31]-code), using construction X applied to Ce(29) ⊂ Ce(17) based on
- linear OA(1685, 4096, F16, 30) (dual of [4096, 4011, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- 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(1617, 53, F16, 11) (dual of [53, 36, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(1617, 64, F16, 11) (dual of [64, 47, 12]-code), using
- algebraic-geometric code AG(F,52P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- algebraic-geometric code AG(F,52P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- discarding factors / shortening the dual code based on linear OA(1617, 64, F16, 11) (dual of [64, 47, 12]-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(16102, 2074, F16, 2, 30) (dual of [(2074, 2), 4046, 31]-NRT-code) | [i] | OOA Folding | |