Information on Result #1100778
Linear OOA(3164, 4194301, F3, 5, 11) (dual of [(4194301, 5), 20971341, 12]-NRT-code), using OOA 2-folding based on linear OOA(3164, 8388602, F3, 3, 11) (dual of [(8388602, 3), 25165642, 12]-NRT-code), using
- trace code [i] based on linear OOA(982, 4194301, F9, 3, 11) (dual of [(4194301, 3), 12582821, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(982, 8388602, F9, 2, 11) (dual of [(8388602, 2), 16777122, 12]-NRT-code), using
- trace code [i] based on linear OOA(8141, 4194301, F81, 2, 11) (dual of [(4194301, 2), 8388561, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8141, 8388602, F81, 11) (dual of [8388602, 8388561, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- OOA 2-folding [i] based on linear OA(8141, 8388602, F81, 11) (dual of [8388602, 8388561, 12]-code), using
- trace code [i] based on linear OOA(8141, 4194301, F81, 2, 11) (dual of [(4194301, 2), 8388561, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(982, 8388602, F9, 2, 11) (dual of [(8388602, 2), 16777122, 12]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3169, 4194305, F3, 5, 11) (dual of [(4194305, 5), 20971356, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3170, 4194308, F3, 5, 11) (dual of [(4194308, 5), 20971370, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(3171, 4194312, F3, 5, 11) (dual of [(4194312, 5), 20971389, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(3172, 4194319, F3, 5, 11) (dual of [(4194319, 5), 20971423, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(3173, 4194329, F3, 5, 11) (dual of [(4194329, 5), 20971472, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(3174, 4194339, F3, 5, 11) (dual of [(4194339, 5), 20971521, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(3175, 4194378, F3, 5, 11) (dual of [(4194378, 5), 20971715, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(3176, 4194396, F3, 5, 11) (dual of [(4194396, 5), 20971804, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(3177, 4194404, F3, 5, 11) (dual of [(4194404, 5), 20971843, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(3179, 4194418, F3, 5, 11) (dual of [(4194418, 5), 20971911, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(3180, 4194458, F3, 5, 11) (dual of [(4194458, 5), 20972110, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(3181, 4194532, F3, 5, 11) (dual of [(4194532, 5), 20972479, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(3182, 4194586, F3, 5, 11) (dual of [(4194586, 5), 20972748, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(3183, 4194668, F3, 5, 11) (dual of [(4194668, 5), 20973157, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(3184, 4194671, F3, 5, 11) (dual of [(4194671, 5), 20973171, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(3185, 4195355, F3, 5, 11) (dual of [(4195355, 5), 20976590, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(3186, 4195397, F3, 5, 11) (dual of [(4195397, 5), 20976799, 12]-NRT-code) | [i] | ||
| 18 | Linear OOA(3187, 4195398, F3, 5, 11) (dual of [(4195398, 5), 20976803, 12]-NRT-code) | [i] | ||
| 19 | Linear OOA(3188, 4195401, F3, 5, 11) (dual of [(4195401, 5), 20976817, 12]-NRT-code) | [i] | ||
| 20 | Linear OOA(3210, 8388602, F3, 5, 11) (dual of [(8388602, 5), 41942800, 12]-NRT-code) | [i] | ||