Information on Result #677653
Linear OA(348, 126, F3, 16) (dual of [126, 78, 17]-code), using construction X applied to Ce(15) ⊂ Ce(12) based on
- linear OA(346, 122, F3, 16) (dual of [122, 76, 17]-code), using an extension Ce(15) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(341, 122, F3, 13) (dual of [122, 81, 14]-code), using an extension Ce(12) of the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [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 OOA(348, 63, F3, 2, 16) (dual of [(63, 2), 78, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(348, 42, F3, 3, 16) (dual of [(42, 3), 78, 17]-NRT-code) | [i] | ||