Information on Result #692393
Linear OA(1697, 4144, F16, 29) (dual of [4144, 4047, 30]-code), using construction X applied to Ce(28) ⊂ Ce(17) based on
- linear OA(1682, 4096, F16, 29) (dual of [4096, 4014, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(1649, 4096, F16, 18) (dual of [4096, 4047, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(1615, 48, F16, 10) (dual of [48, 33, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(1615, 49, F16, 10) (dual of [49, 34, 11]-code), using
- extended algebraic-geometric code AGe(F,38P) [i] based on function field F/F16 with g(F) = 5 and N(F) ≥ 49, using
- discarding factors / shortening the dual code based on linear OA(1615, 49, F16, 10) (dual of [49, 34, 11]-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(1698, 4145, F16, 29) (dual of [4145, 4047, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(1697, 2072, F16, 2, 29) (dual of [(2072, 2), 4047, 30]-NRT-code) | [i] | OOA Folding | |