Information on Result #662088
Linear OA(320, 50, F3, 8) (dual of [50, 30, 9]-code), using (u, u+v)-construction based on
- linear OA(37, 25, F3, 4) (dual of [25, 18, 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(313, 25, F3, 8) (dual of [25, 12, 9]-code), using
- 1 times code embedding in larger space [i] based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- 1 times code embedding in larger space [i] based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
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(3245, 2238, F3, 48) (dual of [2238, 1993, 49]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(3217, 2238, F3, 42) (dual of [2238, 2021, 43]-code) | [i] | ||
| 3 | Linear OA(3189, 2238, F3, 36) (dual of [2238, 2049, 37]-code) | [i] | ||
| 4 | Linear OA(3249, 780, F3, 58) (dual of [780, 531, 59]-code) | [i] | ||
| 5 | Linear OA(3237, 780, F3, 54) (dual of [780, 543, 55]-code) | [i] | ||
| 6 | Linear OA(3213, 780, F3, 48) (dual of [780, 567, 49]-code) | [i] | ||
| 7 | Linear OA(3165, 780, F3, 36) (dual of [780, 615, 37]-code) | [i] | ||
| 8 | Linear OA(3231, 778, F3, 55) (dual of [778, 547, 56]-code) | [i] | ||
| 9 | Linear OA(3234, 779, F3, 56) (dual of [779, 545, 57]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 10 | Linear OA(3156, 779, F3, 35) (dual of [779, 623, 36]-code) | [i] | ||
| 11 | Linear OA(3150, 779, F3, 34) (dual of [779, 629, 35]-code) | [i] | ||
| 12 | Linear OA(3144, 779, F3, 32) (dual of [779, 635, 33]-code) | [i] | ||
| 13 | Linear OA(3138, 779, F3, 31) (dual of [779, 641, 32]-code) | [i] | ||
| 14 | Linear OA(3132, 779, F3, 29) (dual of [779, 647, 30]-code) | [i] | ||
| 15 | Linear OOA(320, 25, F3, 2, 8) (dual of [(25, 2), 30, 9]-NRT-code) | [i] | OOA Folding | |