Information on Result #692412
Linear OA(1694, 4150, F16, 27) (dual of [4150, 4056, 28]-code), using construction X applied to Ce(26) ⊂ Ce(13) based on
- linear OA(1676, 4096, F16, 27) (dual of [4096, 4020, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(1640, 4096, F16, 14) (dual of [4096, 4056, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1618, 54, F16, 12) (dual of [54, 36, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(1618, 64, F16, 12) (dual of [64, 46, 13]-code), using
- algebraic-geometric code AG(F,51P) [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,51P) [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(1618, 64, F16, 12) (dual of [64, 46, 13]-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(1694, 2075, F16, 2, 27) (dual of [(2075, 2), 4056, 28]-NRT-code) | [i] | OOA Folding | |