Information on Result #731994
Linear OA(16117, 4177, F16, 33) (dual of [4177, 4060, 34]-code), using (u, u+v)-construction based on
- linear OA(1622, 65, F16, 16) (dual of [65, 43, 17]-code), using
- extended algebraic-geometric code AGe(F,48P) [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 code AGe(F,48P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(1695, 4112, F16, 33) (dual of [4112, 4017, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(27) [i] based on
- linear OA(1691, 4096, F16, 33) (dual of [4096, 4005, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(1679, 4096, F16, 28) (dual of [4096, 4017, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(164, 16, F16, 4) (dual of [16, 12, 5]-code or 16-arc in PG(3,16)), using
- Reed–Solomon code RS(12,16) [i]
- construction X applied to Ce(32) ⊂ Ce(27) [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 OA(16116, 4176, F16, 32) (dual of [4176, 4060, 33]-code) | [i] | Truncation | |
| 2 | Linear OOA(16117, 2088, F16, 2, 33) (dual of [(2088, 2), 4059, 34]-NRT-code) | [i] | OOA Folding | |