Information on Result #692258
Linear OA(16120, 4125, F16, 40) (dual of [4125, 4005, 41]-code), using construction X applied to Ce(39) ⊂ Ce(32) based on
- linear OA(16112, 4096, F16, 40) (dual of [4096, 3984, 41]-code), using an extension Ce(39) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- 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(168, 29, F16, 6) (dual of [29, 21, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(168, 33, F16, 6) (dual of [33, 25, 7]-code), using
- extended algebraic-geometric code AGe(F,26P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- discarding factors / shortening the dual code based on linear OA(168, 33, F16, 6) (dual of [33, 25, 7]-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 OA(16121, 4126, F16, 40) (dual of [4126, 4005, 41]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(16120, 2062, F16, 2, 40) (dual of [(2062, 2), 4004, 41]-NRT-code) | [i] | OOA Folding | |