Information on Result #734591
Linear OA(4946, 117754, F49, 13) (dual of [117754, 117708, 14]-code), using (u, u+v)-construction based on
- linear OA(499, 102, F49, 6) (dual of [102, 93, 7]-code), using
- construction X applied to C([22,27]) ⊂ C([23,27]) [i] based on
- linear OA(499, 100, F49, 6) (dual of [100, 91, 7]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {22,23,…,27}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(497, 100, F49, 5) (dual of [100, 93, 6]-code), using the BCH-code C(I) with length 100 | 492−1, defining interval I = {23,24,25,26,27}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 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 C([22,27]) ⊂ C([23,27]) [i] based on
- linear OA(4937, 117652, F49, 13) (dual of [117652, 117615, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(4937, 117649, F49, 13) (dual of [117649, 117612, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(4934, 117649, F49, 12) (dual of [117649, 117615, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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 (see above)
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
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(4946, 58877, F49, 2, 13) (dual of [(58877, 2), 117708, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4946, 39251, F49, 3, 13) (dual of [(39251, 3), 117707, 14]-NRT-code) | [i] | ||