Information on Result #1413138
Linear OOA(3177, 4562, F3, 2, 31) (dual of [(4562, 2), 8947, 32]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3177, 4562, F3, 31) (dual of [4562, 4385, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(3177, 6617, F3, 31) (dual of [6617, 6440, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(22) [i] based on
- linear OA(3161, 6561, F3, 31) (dual of [6561, 6400, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(3121, 6561, F3, 23) (dual of [6561, 6440, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(316, 56, F3, 7) (dual of [56, 40, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(316, 82, F3, 7) (dual of [82, 66, 8]-code), using
- construction X applied to Ce(30) ⊂ Ce(22) [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(3177, 2281, F3, 3, 31) (dual of [(2281, 3), 6666, 32]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3177, 2281, F3, 4, 31) (dual of [(2281, 4), 8947, 32]-NRT-code) | [i] | ||