Information on Result #698352
Linear OA(4930, 243, F49, 17) (dual of [243, 213, 18]-code), using construction X applied to Ce(16) ⊂ Ce(15) based on
- linear OA(4930, 241, F49, 17) (dual of [241, 211, 18]-code), using an extension Ce(16) of the narrow-sense BCH-code C(I) with length 240 | 492−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(4928, 241, F49, 16) (dual of [241, 213, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 240 | 492−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(4930, 242, F49, 2, 17) (dual of [(242, 2), 454, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4930, 242, F49, 3, 17) (dual of [(242, 3), 696, 18]-NRT-code) | [i] | ||
| 3 | Digital (13, 30, 242)-net over F49 | [i] | ||
| 4 | Linear OOA(4930, 121, F49, 2, 17) (dual of [(121, 2), 212, 18]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4930, 81, F49, 3, 17) (dual of [(81, 3), 213, 18]-NRT-code) | [i] | ||