Information on Result #903185
Linear OOA(4930, 58877, F49, 2, 9) (dual of [(58877, 2), 117724, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(495, 51, F49, 2, 4) (dual of [(51, 2), 97, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 51)-net over F49, using
- net from sequence [i] based on digital (1, 50)-sequence over F49, using
- extracting embedded OOA [i] based on digital (1, 5, 51)-net over F49, using
- linear OOA(4925, 58826, F49, 2, 9) (dual of [(58826, 2), 117627, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4925, 117652, F49, 9) (dual of [117652, 117627, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- 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(4922, 117649, F49, 8) (dual of [117649, 117627, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- OOA 2-folding [i] based on linear OA(4925, 117652, F49, 9) (dual of [117652, 117627, 10]-code), 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, 29438, F49, 10, 9) (dual of [(29438, 10), 294350, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |