Information on Result #813031
Linear OOA(3121, 4194301, F3, 2, 13) (dual of [(4194301, 2), 8388481, 14]-NRT-code), using OOA 2-folding based on linear OA(3121, 8388602, F3, 13) (dual of [8388602, 8388481, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
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(3121, 4194301, F3, 2, 12) (dual of [(4194301, 2), 8388481, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3123, 4194302, F3, 2, 13) (dual of [(4194302, 2), 8388481, 14]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3125, 4194303, F3, 2, 13) (dual of [(4194303, 2), 8388481, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(3122, 4194301, F3, 2, 13) (dual of [(4194301, 2), 8388480, 14]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3127, 4194305, F3, 2, 13) (dual of [(4194305, 2), 8388483, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(3128, 4194308, F3, 2, 13) (dual of [(4194308, 2), 8388488, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(3129, 4194310, F3, 2, 13) (dual of [(4194310, 2), 8388491, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(3130, 4194314, F3, 2, 13) (dual of [(4194314, 2), 8388498, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(3131, 4194320, F3, 2, 13) (dual of [(4194320, 2), 8388509, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(3132, 4194326, F3, 2, 13) (dual of [(4194326, 2), 8388520, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(3133, 4194334, F3, 2, 13) (dual of [(4194334, 2), 8388535, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(3134, 4194343, F3, 2, 13) (dual of [(4194343, 2), 8388552, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(3137, 4194347, F3, 2, 13) (dual of [(4194347, 2), 8388557, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(3138, 4194355, F3, 2, 13) (dual of [(4194355, 2), 8388572, 14]-NRT-code) | [i] | ||
| 15 | Linear OOA(3139, 4194385, F3, 2, 13) (dual of [(4194385, 2), 8388631, 14]-NRT-code) | [i] | ||
| 16 | Linear OOA(3141, 4194422, F3, 2, 13) (dual of [(4194422, 2), 8388703, 14]-NRT-code) | [i] | ||
| 17 | Linear OOA(3142, 4194427, F3, 2, 13) (dual of [(4194427, 2), 8388712, 14]-NRT-code) | [i] | ||
| 18 | Linear OOA(3143, 4194465, F3, 2, 13) (dual of [(4194465, 2), 8388787, 14]-NRT-code) | [i] | ||
| 19 | Linear OOA(3145, 4194665, F3, 2, 13) (dual of [(4194665, 2), 8389185, 14]-NRT-code) | [i] | ||
| 20 | Linear OOA(3146, 4194671, F3, 2, 13) (dual of [(4194671, 2), 8389196, 14]-NRT-code) | [i] | ||
| 21 | Linear OOA(3147, 4194672, F3, 2, 13) (dual of [(4194672, 2), 8389197, 14]-NRT-code) | [i] | ||
| 22 | Linear OOA(3148, 4194847, F3, 2, 13) (dual of [(4194847, 2), 8389546, 14]-NRT-code) | [i] | ||
| 23 | Linear OOA(3149, 4195394, F3, 2, 13) (dual of [(4195394, 2), 8390639, 14]-NRT-code) | [i] | ||
| 24 | Linear OOA(3150, 4195398, F3, 2, 13) (dual of [(4195398, 2), 8390646, 14]-NRT-code) | [i] | ||
| 25 | Linear OOA(3151, 4195402, F3, 2, 13) (dual of [(4195402, 2), 8390653, 14]-NRT-code) | [i] | ||
| 26 | Linear OOA(3152, 4195403, F3, 2, 13) (dual of [(4195403, 2), 8390654, 14]-NRT-code) | [i] | ||
| 27 | Linear OOA(3153, 4197581, F3, 2, 13) (dual of [(4197581, 2), 8395009, 14]-NRT-code) | [i] | ||
| 28 | Linear OOA(3154, 4197586, F3, 2, 13) (dual of [(4197586, 2), 8395018, 14]-NRT-code) | [i] | ||
| 29 | Linear OOA(3155, 4197590, F3, 2, 13) (dual of [(4197590, 2), 8395025, 14]-NRT-code) | [i] | ||
| 30 | Linear OOA(3173, 4991462, F3, 2, 13) (dual of [(4991462, 2), 9982751, 14]-NRT-code) | [i] | ||
| 31 | Linear OOA(3174, 4991469, F3, 2, 13) (dual of [(4991469, 2), 9982764, 14]-NRT-code) | [i] | ||
| 32 | Linear OOA(3175, 4991476, F3, 2, 13) (dual of [(4991476, 2), 9982777, 14]-NRT-code) | [i] | ||
| 33 | Linear OOA(3176, 4991477, F3, 2, 13) (dual of [(4991477, 2), 9982778, 14]-NRT-code) | [i] | ||
| 34 | Linear OOA(3177, 6585785, F3, 2, 13) (dual of [(6585785, 2), 13171393, 14]-NRT-code) | [i] | ||
| 35 | Linear OOA(3136, 4194350, F3, 2, 13) (dual of [(4194350, 2), 8388564, 14]-NRT-code) | [i] | ||
| 36 | Linear OOA(3137, 4194366, F3, 2, 13) (dual of [(4194366, 2), 8388595, 14]-NRT-code) | [i] | ||
| 37 | Linear OOA(3138, 4194388, F3, 2, 13) (dual of [(4194388, 2), 8388638, 14]-NRT-code) | [i] | ||
| 38 | Linear OOA(3139, 4194411, F3, 2, 13) (dual of [(4194411, 2), 8388683, 14]-NRT-code) | [i] | ||
| 39 | Linear OOA(3140, 4194422, F3, 2, 13) (dual of [(4194422, 2), 8388704, 14]-NRT-code) | [i] | ||
| 40 | Linear OOA(3141, 4194502, F3, 2, 13) (dual of [(4194502, 2), 8388863, 14]-NRT-code) | [i] | ||
| 41 | Linear OOA(3142, 4194553, F3, 2, 13) (dual of [(4194553, 2), 8388964, 14]-NRT-code) | [i] | ||
| 42 | Linear OOA(3143, 4194557, F3, 2, 13) (dual of [(4194557, 2), 8388971, 14]-NRT-code) | [i] | ||
| 43 | Linear OOA(3144, 4194568, F3, 2, 13) (dual of [(4194568, 2), 8388992, 14]-NRT-code) | [i] | ||