Information on Result #1703520
Linear OOA(2217, 3283, F2, 8, 31) (dual of [(3283, 8), 26047, 32]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2217, 3283, F2, 5, 31) (dual of [(3283, 5), 16198, 32]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2217, 16415, F2, 31) (dual of [16415, 16198, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(2217, 16416, F2, 31) (dual of [16416, 16199, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(26) [i] based on
- linear OA(2211, 16384, F2, 31) (dual of [16384, 16173, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2183, 16384, F2, 27) (dual of [16384, 16201, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- 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(30) ⊂ Ce(26) [i] based on
- discarding factors / shortening the dual code based on linear OA(2217, 16416, F2, 31) (dual of [16416, 16199, 32]-code), using
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(2218, 3283, F2, 8, 31) (dual of [(3283, 8), 26046, 32]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2217, 1641, F2, 40, 31) (dual of [(1641, 40), 65423, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |