Information on Result #693050
Linear OA(1687, 118, F16, 52) (dual of [118, 31, 53]-code), using construction X applied to Ce(51) ⊂ Ce(35) based on
- linear OA(1670, 86, F16, 52) (dual of [86, 16, 53]-code), using an extension Ce(51) of the narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(1655, 86, F16, 36) (dual of [86, 31, 37]-code), using an extension Ce(35) of the narrow-sense BCH-code C(I) with length 85 | 162−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(1617, 32, F16, 15) (dual of [32, 15, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(1617, 33, F16, 15) (dual of [33, 16, 16]-code), using
- extended algebraic-geometric code AGe(F,17P) [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(1617, 33, F16, 15) (dual of [33, 16, 16]-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(1687, 59, F16, 2, 52) (dual of [(59, 2), 31, 53]-NRT-code) | [i] | OOA Folding | |