Information on Result #692373
Linear OA(1692, 4139, F16, 28) (dual of [4139, 4047, 29]-code), using construction X applied to Ce(27) ⊂ Ce(17) based on
- linear OA(1679, 4096, F16, 28) (dual of [4096, 4017, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(1613, 43, F16, 9) (dual of [43, 30, 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(1692, 2069, F16, 2, 28) (dual of [(2069, 2), 4046, 29]-NRT-code) | [i] | OOA Folding | |