Information on Result #698214
Linear OA(4933, 2403, F49, 17) (dual of [2403, 2370, 18]-code), using construction X applied to Ce(16) ⊂ Ce(15) based on
- linear OA(4933, 2401, F49, 17) (dual of [2401, 2368, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(4931, 2401, F49, 16) (dual of [2401, 2370, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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
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(766, 4806, F7, 17) (dual of [4806, 4740, 18]-code) | [i] | Trace Code | |
| 2 | Linear OA(4941, 2453, F49, 17) (dual of [2453, 2412, 18]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4942, 2456, F49, 17) (dual of [2456, 2414, 18]-code) | [i] | ||
| 4 | Linear OA(4943, 2458, F49, 17) (dual of [2458, 2415, 18]-code) | [i] | ||
| 5 | Linear OA(4944, 2460, F49, 17) (dual of [2460, 2416, 18]-code) | [i] | ||
| 6 | Linear OA(4945, 2503, F49, 17) (dual of [2503, 2458, 18]-code) | [i] | ||
| 7 | Linear OA(4946, 2555, F49, 17) (dual of [2555, 2509, 18]-code) | [i] | ||
| 8 | Linear OA(4947, 2647, F49, 17) (dual of [2647, 2600, 18]-code) | [i] | ||
| 9 | Linear OA(4938, 2429, F49, 17) (dual of [2429, 2391, 18]-code) | [i] | Varšamov–Edel Lengthening | |
| 10 | Linear OA(4939, 2490, F49, 17) (dual of [2490, 2451, 18]-code) | [i] | ||
| 11 | Linear OA(4940, 2677, F49, 17) (dual of [2677, 2637, 18]-code) | [i] | ||
| 12 | Linear OA(4941, 3125, F49, 17) (dual of [3125, 3084, 18]-code) | [i] | ||
| 13 | Linear OA(4942, 3893, F49, 17) (dual of [3893, 3851, 18]-code) | [i] | ||
| 14 | Linear OA(4943, 4949, F49, 17) (dual of [4949, 4906, 18]-code) | [i] | ||
| 15 | Linear OOA(4933, 801, F49, 3, 17) (dual of [(801, 3), 2370, 18]-NRT-code) | [i] | OOA Folding | |