Information on Result #677771
Linear OA(393, 108, F3, 52) (dual of [108, 15, 53]-code), using construction XX applied to Ce(52) ⊂ Ce(43) ⊂ Ce(40) based on
- linear OA(376, 81, F3, 53) (dual of [81, 5, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(370, 81, F3, 44) (dual of [81, 11, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(366, 81, F3, 41) (dual of [81, 15, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(312, 22, F3, 8) (dual of [22, 10, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- extended quadratic residue code Qe(24,3) [i]
- discarding factors / shortening the dual code based on linear OA(312, 24, F3, 8) (dual of [24, 12, 9]-code), using
- linear OA(31, 5, F3, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OOA(393, 54, F3, 2, 52) (dual of [(54, 2), 15, 53]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(393, 36, F3, 3, 52) (dual of [(36, 3), 15, 53]-NRT-code) | [i] | ||