Information on Result #731085
Linear OA(7110, 235304, F7, 19) (dual of [235304, 235194, 20]-code), using trace code based on linear OA(4955, 117652, F49, 19) (dual of [117652, 117597, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(4955, 117649, F49, 19) (dual of [117649, 117594, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(4952, 117649, F49, 18) (dual of [117649, 117597, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(490, 3, F49, 0) (dual of [3, 3, 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(7110, 235304, F7, 2, 19) (dual of [(235304, 2), 470498, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(7110, 235304, F7, 3, 19) (dual of [(235304, 3), 705802, 20]-NRT-code) | [i] | ||
| 3 | Digital (91, 110, 235304)-net over F7 | [i] | ||
| 4 | Linear OOA(7110, 117652, F7, 2, 19) (dual of [(117652, 2), 235194, 20]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(7110, 78434, F7, 3, 19) (dual of [(78434, 3), 235192, 20]-NRT-code) | [i] | ||