Information on Result #954881
Linear OOA(3214, 2210, F3, 3, 37) (dual of [(2210, 3), 6416, 38]-NRT-code), using OOA 3-folding based on linear OA(3214, 6630, F3, 37) (dual of [6630, 6416, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(27) [i] based on
- linear OA(3193, 6561, F3, 37) (dual of [6561, 6368, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(3145, 6561, F3, 28) (dual of [6561, 6416, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(321, 69, F3, 8) (dual of [69, 48, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
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(3214, 2210, F3, 3, 36) (dual of [(2210, 3), 6416, 37]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3215, 2210, F3, 3, 37) (dual of [(2210, 3), 6415, 38]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3213, 2209, F3, 3, 36) (dual of [(2209, 3), 6414, 37]-NRT-code) | [i] | Truncation for OOAs | |