Information on Result #692327
Linear OA(16125, 4136, F16, 40) (dual of [4136, 4011, 41]-code), using construction X applied to Ce(39) ⊂ Ce(29) 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(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(1613, 40, F16, 9) (dual of [40, 27, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(1613, 45, F16, 9) (dual of [45, 32, 10]-code), using
- extended algebraic-geometric code AGe(F,35P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- discarding factors / shortening the dual code based on linear OA(1613, 45, F16, 9) (dual of [45, 32, 10]-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(16125, 2068, F16, 2, 40) (dual of [(2068, 2), 4011, 41]-NRT-code) | [i] | OOA Folding | |