Information on Result #1604607
Linear OOA(3141, 3760, F3, 4, 25) (dual of [(3760, 4), 14899, 26]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3141, 3760, F3, 25) (dual of [3760, 3619, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(3141, 6575, F3, 25) (dual of [6575, 6434, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([1,12]) [i] based on
- linear OA(3129, 6562, F3, 25) (dual of [6562, 6433, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(3128, 6562, F3, 12) (dual of [6562, 6434, 13]-code), using the narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(312, 13, F3, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,3)), using
- dual of repetition code with length 13 [i]
- construction X applied to C([0,12]) ⊂ C([1,12]) [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(3141, 1253, F3, 28, 25) (dual of [(1253, 28), 34943, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |