Information on Result #734628
Linear OA(4939, 120010, F49, 11) (dual of [120010, 119971, 12]-code), using (u, u+v)-construction based on
- linear OA(497, 2353, F49, 5) (dual of [2353, 2346, 6]-code), using
- linear OA(4932, 117657, F49, 11) (dual of [117657, 117625, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([0,4]) [i] based on
- linear OA(4931, 117650, F49, 11) (dual of [117650, 117619, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(4925, 117650, F49, 9) (dual of [117650, 117625, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 496−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(491, 7, F49, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,5]) ⊂ C([0,4]) [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(4939, 60005, F49, 2, 11) (dual of [(60005, 2), 119971, 12]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4939, 40003, F49, 3, 11) (dual of [(40003, 3), 119970, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(4939, 24001, F49, 11, 11) (dual of [(24001, 11), 263972, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |