Information on Result #813291
Linear OOA(3151, 4194301, F3, 2, 16) (dual of [(4194301, 2), 8388451, 17]-NRT-code), using OOA 2-folding based on linear OA(3151, 8388602, F3, 16) (dual of [8388602, 8388451, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3151, large, F3, 16) (dual of [large, large−151, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [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(3151, 4194301, F3, 2, 15) (dual of [(4194301, 2), 8388451, 16]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3153, 4194302, F3, 2, 16) (dual of [(4194302, 2), 8388451, 17]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3155, 4194303, F3, 2, 16) (dual of [(4194303, 2), 8388451, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(3157, 4194304, F3, 2, 16) (dual of [(4194304, 2), 8388451, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(3159, 4194305, F3, 2, 16) (dual of [(4194305, 2), 8388451, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(3152, 4194301, F3, 2, 16) (dual of [(4194301, 2), 8388450, 17]-NRT-code) | [i] | OOA Duplication | |
| 7 | Linear OOA(3160, 4194308, F3, 2, 16) (dual of [(4194308, 2), 8388456, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(3161, 4194309, F3, 2, 16) (dual of [(4194309, 2), 8388457, 17]-NRT-code) | [i] | ||
| 9 | Linear OOA(3162, 4194312, F3, 2, 16) (dual of [(4194312, 2), 8388462, 17]-NRT-code) | [i] | ||
| 10 | Linear OOA(3163, 4194315, F3, 2, 16) (dual of [(4194315, 2), 8388467, 17]-NRT-code) | [i] | ||
| 11 | Linear OOA(3164, 4194318, F3, 2, 16) (dual of [(4194318, 2), 8388472, 17]-NRT-code) | [i] | ||
| 12 | Linear OOA(3165, 4194323, F3, 2, 16) (dual of [(4194323, 2), 8388481, 17]-NRT-code) | [i] | ||
| 13 | Linear OOA(3169, 4194333, F3, 2, 16) (dual of [(4194333, 2), 8388497, 17]-NRT-code) | [i] | ||
| 14 | Linear OOA(3171, 4194341, F3, 2, 16) (dual of [(4194341, 2), 8388511, 17]-NRT-code) | [i] | ||
| 15 | Linear OOA(3172, 4194345, F3, 2, 16) (dual of [(4194345, 2), 8388518, 17]-NRT-code) | [i] | ||
| 16 | Linear OOA(3173, 4194357, F3, 2, 16) (dual of [(4194357, 2), 8388541, 17]-NRT-code) | [i] | ||
| 17 | Linear OOA(3175, 4194385, F3, 2, 16) (dual of [(4194385, 2), 8388595, 17]-NRT-code) | [i] | ||
| 18 | Linear OOA(3177, 4194425, F3, 2, 16) (dual of [(4194425, 2), 8388673, 17]-NRT-code) | [i] | ||
| 19 | Linear OOA(3178, 4194427, F3, 2, 16) (dual of [(4194427, 2), 8388676, 17]-NRT-code) | [i] | ||
| 20 | Linear OOA(3179, 4194428, F3, 2, 16) (dual of [(4194428, 2), 8388677, 17]-NRT-code) | [i] | ||
| 21 | Linear OOA(3180, 4194431, F3, 2, 16) (dual of [(4194431, 2), 8388682, 17]-NRT-code) | [i] | ||
| 22 | Linear OOA(3181, 4194465, F3, 2, 16) (dual of [(4194465, 2), 8388749, 17]-NRT-code) | [i] | ||
| 23 | Linear OOA(3182, 4194668, F3, 2, 16) (dual of [(4194668, 2), 8389154, 17]-NRT-code) | [i] | ||
| 24 | Linear OOA(3183, 4194671, F3, 2, 16) (dual of [(4194671, 2), 8389159, 17]-NRT-code) | [i] | ||
| 25 | Linear OOA(3184, 4194672, F3, 2, 16) (dual of [(4194672, 2), 8389160, 17]-NRT-code) | [i] | ||
| 26 | Linear OOA(3185, 4194674, F3, 2, 16) (dual of [(4194674, 2), 8389163, 17]-NRT-code) | [i] | ||
| 27 | Linear OOA(3186, 4194847, F3, 2, 16) (dual of [(4194847, 2), 8389508, 17]-NRT-code) | [i] | ||
| 28 | Linear OOA(3187, 4195398, F3, 2, 16) (dual of [(4195398, 2), 8390609, 17]-NRT-code) | [i] | ||
| 29 | Linear OOA(3188, 4195399, F3, 2, 16) (dual of [(4195399, 2), 8390610, 17]-NRT-code) | [i] | ||
| 30 | Linear OOA(3190, 4195401, F3, 2, 16) (dual of [(4195401, 2), 8390612, 17]-NRT-code) | [i] | ||
| 31 | Linear OOA(3191, 4195403, F3, 2, 16) (dual of [(4195403, 2), 8390615, 17]-NRT-code) | [i] | ||
| 32 | Linear OOA(3192, 4197585, F3, 2, 16) (dual of [(4197585, 2), 8394978, 17]-NRT-code) | [i] | ||
| 33 | Linear OOA(3193, 4197586, F3, 2, 16) (dual of [(4197586, 2), 8394979, 17]-NRT-code) | [i] | ||
| 34 | Linear OOA(3194, 4197587, F3, 2, 16) (dual of [(4197587, 2), 8394980, 17]-NRT-code) | [i] | ||
| 35 | Linear OOA(3195, 4197588, F3, 2, 16) (dual of [(4197588, 2), 8394981, 17]-NRT-code) | [i] | ||
| 36 | Linear OOA(3196, 4199221, F3, 2, 16) (dual of [(4199221, 2), 8398246, 17]-NRT-code) | [i] | ||
| 37 | Linear OOA(3197, 4204147, F3, 2, 16) (dual of [(4204147, 2), 8408097, 17]-NRT-code) | [i] | ||
| 38 | Linear OOA(3217, 4991469, F3, 2, 16) (dual of [(4991469, 2), 9982721, 17]-NRT-code) | [i] | ||
| 39 | Linear OOA(3218, 4991470, F3, 2, 16) (dual of [(4991470, 2), 9982722, 17]-NRT-code) | [i] | ||
| 40 | Linear OOA(3221, 4991477, F3, 2, 16) (dual of [(4991477, 2), 9982733, 17]-NRT-code) | [i] | ||
| 41 | Linear OOA(3222, 6585792, F3, 2, 16) (dual of [(6585792, 2), 13171362, 17]-NRT-code) | [i] | ||
| 42 | Linear OOA(3223, 6585793, F3, 2, 16) (dual of [(6585793, 2), 13171363, 17]-NRT-code) | [i] | ||
| 43 | Linear OOA(3224, 6585794, F3, 2, 16) (dual of [(6585794, 2), 13171364, 17]-NRT-code) | [i] | ||
| 44 | Linear OOA(3168, 4194326, F3, 2, 16) (dual of [(4194326, 2), 8388484, 17]-NRT-code) | [i] | ||
| 45 | Linear OOA(3170, 4194338, F3, 2, 16) (dual of [(4194338, 2), 8388506, 17]-NRT-code) | [i] | ||
| 46 | Linear OOA(3171, 4194346, F3, 2, 16) (dual of [(4194346, 2), 8388521, 17]-NRT-code) | [i] | ||
| 47 | Linear OOA(3172, 4194355, F3, 2, 16) (dual of [(4194355, 2), 8388538, 17]-NRT-code) | [i] | ||
| 48 | Linear OOA(3173, 4194367, F3, 2, 16) (dual of [(4194367, 2), 8388561, 17]-NRT-code) | [i] | ||
| 49 | Linear OOA(3174, 4194381, F3, 2, 16) (dual of [(4194381, 2), 8388588, 17]-NRT-code) | [i] | ||
| 50 | Linear OOA(3175, 4194397, F3, 2, 16) (dual of [(4194397, 2), 8388619, 17]-NRT-code) | [i] | ||
| 51 | Linear OOA(3176, 4194418, F3, 2, 16) (dual of [(4194418, 2), 8388660, 17]-NRT-code) | [i] | ||
| 52 | Linear OOA(3177, 4194442, F3, 2, 16) (dual of [(4194442, 2), 8388707, 17]-NRT-code) | [i] | ||
| 53 | Linear OOA(3178, 4194471, F3, 2, 16) (dual of [(4194471, 2), 8388764, 17]-NRT-code) | [i] | ||
| 54 | Linear OOA(3179, 4194506, F3, 2, 16) (dual of [(4194506, 2), 8388833, 17]-NRT-code) | [i] | ||
| 55 | Linear OOA(3180, 4194548, F3, 2, 16) (dual of [(4194548, 2), 8388916, 17]-NRT-code) | [i] | ||
| 56 | Linear OOA(3181, 4194566, F3, 2, 16) (dual of [(4194566, 2), 8388951, 17]-NRT-code) | [i] | ||