Information on Result #677298
Linear OA(3104, 271, F3, 31) (dual of [271, 167, 32]-code), using construction X applied to Ce(30) ⊂ Ce(22) based on
- linear OA(391, 243, F3, 31) (dual of [243, 152, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(376, 243, F3, 23) (dual of [243, 167, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(313, 28, F3, 7) (dual of [28, 15, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 28 | 36−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [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(3104, 135, F3, 2, 31) (dual of [(135, 2), 166, 32]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3104, 90, F3, 3, 31) (dual of [(90, 3), 166, 32]-NRT-code) | [i] | ||