Information on Result #692280
Linear OA(1655, 4126, F16, 17) (dual of [4126, 4071, 18]-code), using construction X applied to Ce(16) ⊂ Ce(8) based on
- linear OA(1646, 4096, F16, 17) (dual of [4096, 4050, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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(169, 30, F16, 7) (dual of [30, 21, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(169, 33, F16, 7) (dual of [33, 24, 8]-code), using
- extended algebraic-geometric code AGe(F,25P) [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(169, 33, F16, 7) (dual of [33, 24, 8]-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(1654, 4125, F16, 16) (dual of [4125, 4071, 17]-code) | [i] | Truncation | |
| 2 | Linear OOA(1655, 2063, F16, 2, 17) (dual of [(2063, 2), 4071, 18]-NRT-code) | [i] | OOA Folding | |