Information on Result #692208
Linear OA(1645, 4116, F16, 14) (dual of [4116, 4071, 15]-code), using construction X applied to Ce(13) ⊂ Ce(8) based on
- linear OA(1640, 4096, F16, 14) (dual of [4096, 4056, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1625, 4096, F16, 9) (dual of [4096, 4071, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(165, 20, F16, 4) (dual of [20, 15, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(165, 24, F16, 4) (dual of [24, 19, 5]-code), using
- extended algebraic-geometric code AGe(F,19P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- discarding factors / shortening the dual code based on linear OA(165, 24, F16, 4) (dual of [24, 19, 5]-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(1645, 2058, F16, 2, 14) (dual of [(2058, 2), 4071, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(1645, 588, F16, 14, 14) (dual of [(588, 14), 8187, 15]-NRT-code) | [i] | OA Folding and Stacking | |