Information on Result #698157
Linear OA(4955, 117676, F49, 17) (dual of [117676, 117621, 18]-code), using construction X applied to Ce(16) ⊂ Ce(9) based on
- linear OA(4949, 117649, F49, 17) (dual of [117649, 117600, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(4928, 117649, F49, 10) (dual of [117649, 117621, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(496, 27, F49, 6) (dual of [27, 21, 7]-code or 27-arc in PG(5,49)), using
- discarding factors / shortening the dual code based on linear OA(496, 49, F49, 6) (dual of [49, 43, 7]-code or 49-arc in PG(5,49)), using
- Reed–Solomon code RS(43,49) [i]
- discarding factors / shortening the dual code based on linear OA(496, 49, F49, 6) (dual of [49, 43, 7]-code or 49-arc in PG(5,49)), 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(4955, 117676, F49, 2, 17) (dual of [(117676, 2), 235297, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4955, 117676, F49, 3, 17) (dual of [(117676, 3), 352973, 18]-NRT-code) | [i] | ||
| 3 | Digital (38, 55, 117676)-net over F49 | [i] | ||
| 4 | Linear OOA(4955, 58838, F49, 2, 17) (dual of [(58838, 2), 117621, 18]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4955, 39225, F49, 3, 17) (dual of [(39225, 3), 117620, 18]-NRT-code) | [i] | ||