Information on Result #692428
Linear OA(16120, 4158, F16, 36) (dual of [4158, 4038, 37]-code), using construction X applied to Ce(35) ⊂ Ce(20) based on
- linear OA(16100, 4096, F16, 36) (dual of [4096, 3996, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(1658, 4096, F16, 21) (dual of [4096, 4038, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(1620, 62, F16, 14) (dual of [62, 42, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(1620, 64, F16, 14) (dual of [64, 44, 15]-code), using
- algebraic-geometric code AG(F,49P) [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,49P) [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(1620, 64, F16, 14) (dual of [64, 44, 15]-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(16120, 2079, F16, 2, 36) (dual of [(2079, 2), 4038, 37]-NRT-code) | [i] | OOA Folding | |