Information on Result #1533629
Linear OOA(3249, 6168, F3, 3, 43) (dual of [(6168, 3), 18255, 44]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3249, 6168, F3, 43) (dual of [6168, 5919, 44]-code), using
- discarding factors / shortening the dual code based on linear OA(3249, 6634, F3, 43) (dual of [6634, 6385, 44]-code), using
- construction X applied to C([0,21]) ⊂ C([0,16]) [i] based on
- linear OA(3225, 6562, F3, 43) (dual of [6562, 6337, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(3177, 6562, F3, 33) (dual of [6562, 6385, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(324, 72, F3, 9) (dual of [72, 48, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(324, 80, F3, 9) (dual of [80, 56, 10]-code), using
- the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(324, 80, F3, 9) (dual of [80, 56, 10]-code), using
- construction X applied to C([0,21]) ⊂ C([0,16]) [i] based on
Mode: 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(3249, 3084, F3, 5, 43) (dual of [(3084, 5), 15171, 44]-NRT-code) | [i] | OOA Folding | |