Information on Result #692335
Linear OA(16113, 4136, F16, 36) (dual of [4136, 4023, 37]-code), using construction X applied to Ce(35) ⊂ Ce(25) based on
- linear OA(16100, 4096, F16, 36) (dual of [4096, 3996, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(1673, 4096, F16, 26) (dual of [4096, 4023, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(1613, 40, F16, 9) (dual of [40, 27, 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(16113, 2068, F16, 2, 36) (dual of [(2068, 2), 4023, 37]-NRT-code) | [i] | OOA Folding | |