Information on Result #1097643
Linear OOA(2239, 826, F2, 5, 39) (dual of [(826, 5), 3891, 40]-NRT-code), using OOA 5-folding based on linear OA(2239, 4130, F2, 39) (dual of [4130, 3891, 40]-code), using
- 4 times code embedding in larger space [i] based on linear OA(2235, 4126, F2, 39) (dual of [4126, 3891, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(34) [i] based on
- linear OA(2229, 4096, F2, 39) (dual of [4096, 3867, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [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(26, 30, F2, 3) (dual of [30, 24, 4]-code or 30-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to Ce(38) ⊂ 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(2239, 826, F2, 5, 38) (dual of [(826, 5), 3891, 39]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2240, 826, F2, 5, 39) (dual of [(826, 5), 3890, 40]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2238, 825, F2, 5, 38) (dual of [(825, 5), 3887, 39]-NRT-code) | [i] | Truncation for OOAs | |