Information on Result #692378
Linear OA(1678, 4140, F16, 23) (dual of [4140, 4062, 24]-code), using construction X applied to Ce(22) ⊂ Ce(11) based on
- linear OA(1664, 4096, F16, 23) (dual of [4096, 4032, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(1634, 4096, F16, 12) (dual of [4096, 4062, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(1614, 44, F16, 10) (dual of [44, 30, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(1614, 45, F16, 10) (dual of [45, 31, 11]-code), using
- extended algebraic-geometric code AGe(F,34P) [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(1614, 45, F16, 10) (dual of [45, 31, 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 OOA(1678, 2070, F16, 2, 23) (dual of [(2070, 2), 4062, 24]-NRT-code) | [i] | OOA Folding | |