Information on Result #1462149
Linear OOA(4931, 5764815, F49, 2, 8) (dual of [(5764815, 2), 11529599, 9]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4931, 5764815, F49, 8) (dual of [5764815, 5764784, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(4) [i] based on
- linear OA(4929, 5764801, F49, 8) (dual of [5764801, 5764772, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(4917, 5764801, F49, 5) (dual of [5764801, 5764784, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(492, 14, F49, 2) (dual of [14, 12, 3]-code or 14-arc in PG(1,49)), using
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
- Reed–Solomon code RS(47,49) [i]
- discarding factors / shortening the dual code based on linear OA(492, 49, F49, 2) (dual of [49, 47, 3]-code or 49-arc in PG(1,49)), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(4931, 2882407, F49, 3, 8) (dual of [(2882407, 3), 8647190, 9]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4931, 2882407, F49, 10, 8) (dual of [(2882407, 10), 28824039, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |