Information on Result #2700378
Linear OOA(8147, 1377, F8, 3, 39) (dual of [(1377, 3), 3984, 40]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(8144, 1376, F8, 3, 39) (dual of [(1376, 3), 3984, 40]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8144, 4128, F8, 39) (dual of [4128, 3984, 40]-code), using
- construction X applied to C([0,19]) ⊂ C([0,16]) [i] based on
- linear OA(8137, 4097, F8, 39) (dual of [4097, 3960, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(8113, 4097, F8, 33) (dual of [4097, 3984, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(87, 31, F8, 5) (dual of [31, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to C([0,19]) ⊂ C([0,16]) [i] based on
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(8148, 1377, F8, 3, 39) (dual of [(1377, 3), 3983, 40]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8149, 1377, F8, 3, 39) (dual of [(1377, 3), 3982, 40]-NRT-code) | [i] | ||