Information on Result #808328
Linear OOA(2218, 2054, F2, 2, 37) (dual of [(2054, 2), 3890, 38]-NRT-code), using OOA 2-folding based on linear OA(2218, 4108, F2, 37) (dual of [4108, 3890, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(2218, 4109, F2, 37) (dual of [4109, 3891, 38]-code), using
- construction X applied to Ce(36) ⊂ Ce(34) [i] based on
- linear OA(2217, 4096, F2, 37) (dual of [4096, 3879, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2205, 4096, F2, 35) (dual of [4096, 3891, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(21, 13, F2, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(36) ⊂ Ce(34) [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(2218, 2054, F2, 2, 36) (dual of [(2054, 2), 3890, 37]-NRT-code) | [i] | Strength Reduction for OOAs | |