Information on Result #1643111
Linear OOA(3121, 4071, F3, 5, 21) (dual of [(4071, 5), 20234, 22]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3121, 4071, F3, 21) (dual of [4071, 3950, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3121, 6590, F3, 21) (dual of [6590, 6469, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,7]) [i] based on
- linear OA(3113, 6562, F3, 21) (dual of [6562, 6449, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(381, 6562, F3, 15) (dual of [6562, 6481, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [i] based on
- construction X applied to C([0,10]) ⊂ C([0,7]) [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(3121, 2035, F3, 25, 21) (dual of [(2035, 25), 50754, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |