Information on Result #662087
Linear OA(319, 48, F3, 8) (dual of [48, 29, 9]-code), using (u, u+v)-construction based on
- linear OA(37, 24, F3, 4) (dual of [24, 17, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(349, 108, F3, 17) (dual of [108, 59, 18]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(319, 37, F3, 2, 8) (dual of [(37, 2), 55, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(319, 37, F3, 3, 8) (dual of [(37, 3), 92, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(319, 37, F3, 4, 8) (dual of [(37, 4), 129, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(319, 37, F3, 5, 8) (dual of [(37, 5), 166, 9]-NRT-code) | [i] | ||
| 6 | Digital (11, 19, 37)-net over F3 | [i] | ||
| 7 | Linear OA(3244, 2236, F3, 48) (dual of [2236, 1992, 49]-code) | [i] | Construction X with Cyclic Codes | |
| 8 | Linear OA(3216, 2236, F3, 42) (dual of [2236, 2020, 43]-code) | [i] | ||
| 9 | Linear OA(3188, 2236, F3, 36) (dual of [2236, 2048, 37]-code) | [i] | ||
| 10 | Linear OA(3248, 778, F3, 58) (dual of [778, 530, 59]-code) | [i] | ||
| 11 | Linear OA(3236, 778, F3, 54) (dual of [778, 542, 55]-code) | [i] | ||
| 12 | Linear OA(3212, 778, F3, 48) (dual of [778, 566, 49]-code) | [i] | ||
| 13 | Linear OA(3188, 778, F3, 42) (dual of [778, 590, 43]-code) | [i] | ||
| 14 | Linear OA(3164, 778, F3, 36) (dual of [778, 614, 37]-code) | [i] | ||
| 15 | Linear OA(3230, 776, F3, 55) (dual of [776, 546, 56]-code) | [i] | ||
| 16 | Linear OA(3248, 775, F3, 61) (dual of [775, 527, 62]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 17 | Linear OA(3242, 775, F3, 59) (dual of [775, 533, 60]-code) | [i] | ||
| 18 | Linear OA(3236, 775, F3, 58) (dual of [775, 539, 59]-code) | [i] | ||
| 19 | Linear OA(3233, 777, F3, 56) (dual of [777, 544, 57]-code) | [i] | ||
| 20 | Linear OA(3155, 777, F3, 35) (dual of [777, 622, 36]-code) | [i] | ||
| 21 | Linear OA(3149, 777, F3, 34) (dual of [777, 628, 35]-code) | [i] | ||
| 22 | Linear OA(3143, 777, F3, 32) (dual of [777, 634, 33]-code) | [i] | ||
| 23 | Linear OA(3137, 777, F3, 31) (dual of [777, 640, 32]-code) | [i] | ||
| 24 | Linear OA(3131, 777, F3, 29) (dual of [777, 646, 30]-code) | [i] | ||
| 25 | Linear OA(3135, 287, F3, 40) (dual of [287, 152, 41]-code) | [i] | ||
| 26 | Linear OOA(319, 24, F3, 2, 8) (dual of [(24, 2), 29, 9]-NRT-code) | [i] | OOA Folding | |