Information on Result #732111
Linear OA(1650, 4137, F16, 14) (dual of [4137, 4087, 15]-code), using (u, u+v)-construction based on
- linear OA(1610, 38, F16, 7) (dual of [38, 28, 8]-code), using
- extended algebraic-geometric code AGe(F,30P) [i] based on function field F/F16 with g(F) = 3 and N(F) ≥ 38, using
- linear OA(1640, 4099, F16, 14) (dual of [4099, 4059, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] 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(1637, 4096, F16, 13) (dual of [4096, 4059, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(160, 3, F16, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
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(1650, 2068, F16, 2, 14) (dual of [(2068, 2), 4086, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(1650, 591, F16, 14, 14) (dual of [(591, 14), 8224, 15]-NRT-code) | [i] | OA Folding and Stacking | |