Information on Result #677157
Linear OA(3229, 247, F3, 134) (dual of [247, 18, 135]-code), using construction X applied to Ce(133) ⊂ Ce(130) based on
- linear OA(3227, 243, F3, 134) (dual of [243, 16, 135]-code), using an extension Ce(133) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,133], and designed minimum distance d ≥ |I|+1 = 134 [i]
- linear OA(3222, 243, F3, 131) (dual of [243, 21, 132]-code), using an extension Ce(130) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,130], and designed minimum distance d ≥ |I|+1 = 131 [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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3229, 123, F3, 2, 134) (dual of [(123, 2), 17, 135]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3229, 82, F3, 3, 134) (dual of [(82, 3), 17, 135]-NRT-code) | [i] | ||
| 3 | Linear OOA(3229, 49, F3, 5, 134) (dual of [(49, 5), 16, 135]-NRT-code) | [i] | ||