Information on Result #698104
Linear OA(4928, 117652, F49, 10) (dual of [117652, 117624, 11]-code), using construction X applied to Ce(9) ⊂ Ce(8) based on
- 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(4925, 117649, F49, 9) (dual of [117649, 117624, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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 OA(756, 235304, F7, 10) (dual of [235304, 235248, 11]-code) | [i] | Trace Code | |
| 2 | Linear OA(4933, 117702, F49, 10) (dual of [117702, 117669, 11]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4934, 117705, F49, 10) (dual of [117705, 117671, 11]-code) | [i] | ||
| 4 | Linear OA(4935, 120005, F49, 10) (dual of [120005, 119970, 11]-code) | [i] | ||
| 5 | Linear OOA(4928, 58826, F49, 2, 10) (dual of [(58826, 2), 117624, 11]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4928, 39217, F49, 3, 10) (dual of [(39217, 3), 117623, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(4928, 23530, F49, 10, 10) (dual of [(23530, 10), 235272, 11]-NRT-code) | [i] | OA Folding and Stacking | |