Information on Result #1101173
Linear OOA(3151, 1677720, F3, 5, 16) (dual of [(1677720, 5), 8388449, 17]-NRT-code), using OOA 5-folding based on linear OA(3151, 8388600, F3, 16) (dual of [8388600, 8388449, 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, 1677720, F3, 5, 15) (dual of [(1677720, 5), 8388449, 16]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3156, 1677721, F3, 5, 16) (dual of [(1677721, 5), 8388449, 17]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(3152, 1677720, F3, 5, 16) (dual of [(1677720, 5), 8388448, 17]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3153, 1677720, F3, 5, 16) (dual of [(1677720, 5), 8388447, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(3154, 1677720, F3, 5, 16) (dual of [(1677720, 5), 8388446, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(3155, 1677720, F3, 5, 16) (dual of [(1677720, 5), 8388445, 17]-NRT-code) | [i] | ||
| 7 | Linear OOA(3159, 1677724, F3, 5, 16) (dual of [(1677724, 5), 8388461, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(3160, 1677727, F3, 5, 16) (dual of [(1677727, 5), 8388475, 17]-NRT-code) | [i] | ||
| 9 | Linear OOA(3161, 1677728, F3, 5, 16) (dual of [(1677728, 5), 8388479, 17]-NRT-code) | [i] | ||
| 10 | Linear OOA(3162, 1677731, F3, 5, 16) (dual of [(1677731, 5), 8388493, 17]-NRT-code) | [i] | ||
| 11 | Linear OOA(3163, 1677734, F3, 5, 16) (dual of [(1677734, 5), 8388507, 17]-NRT-code) | [i] | ||
| 12 | Linear OOA(3164, 1677737, F3, 5, 16) (dual of [(1677737, 5), 8388521, 17]-NRT-code) | [i] | ||
| 13 | Linear OOA(3165, 1677742, F3, 5, 16) (dual of [(1677742, 5), 8388545, 17]-NRT-code) | [i] | ||
| 14 | Linear OOA(3169, 1677752, F3, 5, 16) (dual of [(1677752, 5), 8388591, 17]-NRT-code) | [i] | ||
| 15 | Linear OOA(3171, 1677760, F3, 5, 16) (dual of [(1677760, 5), 8388629, 17]-NRT-code) | [i] | ||
| 16 | Linear OOA(3172, 1677764, F3, 5, 16) (dual of [(1677764, 5), 8388648, 17]-NRT-code) | [i] | ||
| 17 | Linear OOA(3173, 1677776, F3, 5, 16) (dual of [(1677776, 5), 8388707, 17]-NRT-code) | [i] | ||
| 18 | Linear OOA(3175, 1677804, F3, 5, 16) (dual of [(1677804, 5), 8388845, 17]-NRT-code) | [i] | ||
| 19 | Linear OOA(3178, 1677834, F3, 5, 16) (dual of [(1677834, 5), 8388992, 17]-NRT-code) | [i] | ||
| 20 | Linear OOA(3181, 1677884, F3, 5, 16) (dual of [(1677884, 5), 8389239, 17]-NRT-code) | [i] | ||
| 21 | Linear OOA(3182, 1677903, F3, 5, 16) (dual of [(1677903, 5), 8389333, 17]-NRT-code) | [i] | ||
| 22 | Linear OOA(3183, 1678048, F3, 5, 16) (dual of [(1678048, 5), 8390057, 17]-NRT-code) | [i] | ||
| 23 | Linear OOA(3187, 1678268, F3, 5, 16) (dual of [(1678268, 5), 8391153, 17]-NRT-code) | [i] | ||
| 24 | Linear OOA(3188, 1678269, F3, 5, 16) (dual of [(1678269, 5), 8391157, 17]-NRT-code) | [i] | ||
| 25 | Linear OOA(3190, 1678270, F3, 5, 16) (dual of [(1678270, 5), 8391160, 17]-NRT-code) | [i] | ||
| 26 | Linear OOA(3191, 1678272, F3, 5, 16) (dual of [(1678272, 5), 8391169, 17]-NRT-code) | [i] | ||
| 27 | Linear OOA(3192, 1679362, F3, 5, 16) (dual of [(1679362, 5), 8396618, 17]-NRT-code) | [i] | ||
| 28 | Linear OOA(3194, 1679363, F3, 5, 16) (dual of [(1679363, 5), 8396621, 17]-NRT-code) | [i] | ||
| 29 | Linear OOA(3196, 1680180, F3, 5, 16) (dual of [(1680180, 5), 8400704, 17]-NRT-code) | [i] | ||
| 30 | Linear OOA(3197, 1682643, F3, 5, 16) (dual of [(1682643, 5), 8413018, 17]-NRT-code) | [i] | ||
| 31 | Linear OOA(3200, 1682644, F3, 5, 16) (dual of [(1682644, 5), 8413020, 17]-NRT-code) | [i] | ||
| 32 | Linear OOA(3201, 1682647, F3, 5, 16) (dual of [(1682647, 5), 8413034, 17]-NRT-code) | [i] | ||
| 33 | Linear OOA(3202, 1692484, F3, 5, 16) (dual of [(1692484, 5), 8462218, 17]-NRT-code) | [i] | ||
| 34 | Linear OOA(3203, 1692485, F3, 5, 16) (dual of [(1692485, 5), 8462222, 17]-NRT-code) | [i] | ||
| 35 | Linear OOA(3206, 1692488, F3, 5, 16) (dual of [(1692488, 5), 8462234, 17]-NRT-code) | [i] | ||
| 36 | Linear OOA(3207, 1722009, F3, 5, 16) (dual of [(1722009, 5), 8609838, 17]-NRT-code) | [i] | ||
| 37 | Linear OOA(3208, 1722010, F3, 5, 16) (dual of [(1722010, 5), 8609842, 17]-NRT-code) | [i] | ||
| 38 | Linear OOA(3211, 1722013, F3, 5, 16) (dual of [(1722013, 5), 8609854, 17]-NRT-code) | [i] | ||
| 39 | Linear OOA(3217, 2076304, F3, 5, 16) (dual of [(2076304, 5), 10381303, 17]-NRT-code) | [i] | ||
| 40 | Linear OOA(3220, 2076305, F3, 5, 16) (dual of [(2076305, 5), 10381305, 17]-NRT-code) | [i] | ||
| 41 | Linear OOA(3221, 2076308, F3, 5, 16) (dual of [(2076308, 5), 10381319, 17]-NRT-code) | [i] | ||
| 42 | Linear OOA(3222, 2873465, F3, 5, 16) (dual of [(2873465, 5), 14367103, 17]-NRT-code) | [i] | ||
| 43 | Linear OOA(3223, 2873466, F3, 5, 16) (dual of [(2873466, 5), 14367107, 17]-NRT-code) | [i] | ||
| 44 | Linear OOA(3226, 2873470, F3, 5, 16) (dual of [(2873470, 5), 14367124, 17]-NRT-code) | [i] | ||
| 45 | Linear OOA(3227, 3355440, F3, 5, 16) (dual of [(3355440, 5), 16776973, 17]-NRT-code) | [i] | ||
| 46 | Linear OOA(3232, 3355444, F3, 5, 16) (dual of [(3355444, 5), 16776988, 17]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 47 | Linear OOA(3233, 3355447, F3, 5, 16) (dual of [(3355447, 5), 16777002, 17]-NRT-code) | [i] | ||
| 48 | Linear OOA(3234, 3355451, F3, 5, 16) (dual of [(3355451, 5), 16777021, 17]-NRT-code) | [i] | ||
| 49 | Linear OOA(3235, 3355458, F3, 5, 16) (dual of [(3355458, 5), 16777055, 17]-NRT-code) | [i] | ||
| 50 | Linear OOA(3236, 3355468, F3, 5, 16) (dual of [(3355468, 5), 16777104, 17]-NRT-code) | [i] | ||
| 51 | Linear OOA(3237, 3355478, F3, 5, 16) (dual of [(3355478, 5), 16777153, 17]-NRT-code) | [i] | ||
| 52 | Linear OOA(3238, 3355517, F3, 5, 16) (dual of [(3355517, 5), 16777347, 17]-NRT-code) | [i] | ||
| 53 | Linear OOA(3239, 3355535, F3, 5, 16) (dual of [(3355535, 5), 16777436, 17]-NRT-code) | [i] | ||
| 54 | Linear OOA(3240, 3355543, F3, 5, 16) (dual of [(3355543, 5), 16777475, 17]-NRT-code) | [i] | ||
| 55 | Linear OOA(3242, 3355557, F3, 5, 16) (dual of [(3355557, 5), 16777543, 17]-NRT-code) | [i] | ||
| 56 | Linear OOA(3243, 3355597, F3, 5, 16) (dual of [(3355597, 5), 16777742, 17]-NRT-code) | [i] | ||