Information on Result #2227339
Linear OA(346, 56, F3, 27) (dual of [56, 10, 28]-code), using 2 times truncation based on linear OA(348, 58, F3, 29) (dual of [58, 10, 30]-code), using
- construction XX applied to C1 = C([0,55]), C2 = C([1,57]), C3 = C1 + C2 = C([1,55]), and C∩ = C1 ∩ C2 = C([0,57]) [i] based on
- linear OA(347, 56, F3, 28) (dual of [56, 9, 29]-code), using contraction [i] based on linear OA(3103, 112, F3, 57) (dual of [112, 9, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 112 | 312−1, defining interval I = [0,55], and minimum distance d ≥ |{−1,0,…,55}|+1 = 58 (BCH-bound) [i]
- linear OA(347, 56, F3, 28) (dual of [56, 9, 29]-code), using contraction [i] based on linear OA(3103, 112, F3, 57) (dual of [112, 9, 58]-code), using the narrow-sense BCH-code C(I) with length 112 | 312−1, defining interval I = [1,57], and designed minimum distance d ≥ |I|+1 = 58 [i]
- linear OA(348, 56, F3, 29) (dual of [56, 8, 30]-code), using contraction [i] based on linear OA(3104, 112, F3, 59) (dual of [112, 8, 60]-code), using the expurgated narrow-sense BCH-code C(I) with length 112 | 312−1, defining interval I = [0,57], and minimum distance d ≥ |{−1,0,…,57}|+1 = 60 (BCH-bound) [i]
- linear OA(346, 56, F3, 27) (dual of [56, 10, 28]-code), using contraction [i] based on linear OA(3102, 112, F3, 55) (dual of [112, 10, 56]-code), using the narrow-sense BCH-code C(I) with length 112 | 312−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code) (see above)
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.
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Other Results with Identical Parameters
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(346, 28, F3, 2, 27) (dual of [(28, 2), 10, 28]-NRT-code) | [i] | OOA Folding | |