Information on Result #692957
Linear OA(16103, 286, F16, 53) (dual of [286, 183, 54]-code), using construction X applied to Ce(52) ⊂ Ce(40) based on
- linear OA(1690, 256, F16, 53) (dual of [256, 166, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(1673, 256, F16, 41) (dual of [256, 183, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 255 = 162−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(1613, 30, F16, 11) (dual of [30, 17, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(1613, 33, F16, 11) (dual of [33, 20, 12]-code), using
- extended algebraic-geometric code AGe(F,21P) [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(1613, 33, F16, 11) (dual of [33, 20, 12]-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(16103, 143, F16, 2, 53) (dual of [(143, 2), 183, 54]-NRT-code) | [i] | OOA Folding | |