Information on Result #1324358
Linear OA(8140, 262200, F8, 25) (dual of [262200, 262060, 26]-code), using construction X with Varšamov bound based on
- linear OA(8139, 262198, F8, 25) (dual of [262198, 262059, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(16) [i] based on
- linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(885, 262144, F8, 17) (dual of [262144, 262059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(812, 54, F8, 7) (dual of [54, 42, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(812, 73, F8, 7) (dual of [73, 61, 8]-code), using
- a “DaH†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(812, 73, F8, 7) (dual of [73, 61, 8]-code), using
- construction X applied to Ce(24) ⊂ Ce(16) [i] based on
- linear OA(8139, 262199, F8, 24) (dual of [262199, 262060, 25]-code), using Gilbert–Varšamov bound and bm = 8139 > Vbs−1(k−1) = 44 959604 301833 453746 498289 078106 765945 956344 454662 181962 115329 311934 165528 198426 509942 260386 778955 079721 792954 214814 156592 [i]
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(8140, 262200, F8, 2, 25) (dual of [(262200, 2), 524260, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8140, 262200, F8, 3, 25) (dual of [(262200, 3), 786460, 26]-NRT-code) | [i] | ||
| 3 | Digital (115, 140, 262200)-net over F8 | [i] | ||
| 4 | Linear OOA(8140, 131100, F8, 2, 25) (dual of [(131100, 2), 262060, 26]-NRT-code) | [i] | OOA Folding | |