Information on Result #1453896
Linear OOA(1680, 940525, F16, 2, 17) (dual of [(940525, 2), 1880970, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1680, 940525, F16, 17) (dual of [940525, 940445, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(1680, 1048595, F16, 17) (dual of [1048595, 1048515, 18]-code), using
- 1 times code embedding in larger space [i] based on linear OA(1679, 1048594, F16, 17) (dual of [1048594, 1048515, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(1676, 1048576, F16, 17) (dual of [1048576, 1048500, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(1661, 1048576, F16, 13) (dual of [1048576, 1048515, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(163, 18, F16, 3) (dual of [18, 15, 4]-code or 18-arc in PG(2,16) or 18-cap in PG(2,16)), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(1679, 1048594, F16, 17) (dual of [1048594, 1048515, 18]-code), using
Mode: 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(1680, 235131, F16, 18, 17) (dual of [(235131, 18), 4232278, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |