Information on Result #1489011
Linear OOA(861, 16397, F8, 3, 13) (dual of [(16397, 3), 49130, 14]-NRT-code), using OOA 2-folding based on linear OOA(861, 32794, F8, 2, 13) (dual of [(32794, 2), 65527, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(861, 32794, F8, 13) (dual of [32794, 32733, 14]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(860, 32792, F8, 13) (dual of [32792, 32732, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(856, 32768, F8, 13) (dual of [32768, 32712, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(84, 24, F8, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,8)), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(860, 32793, F8, 12) (dual of [32793, 32733, 13]-code), using Gilbert–Varšamov bound and bm = 860 > Vbs−1(k−1) = 2331 642731 932600 130325 166091 423441 526316 248204 768498 [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
- linear OA(860, 32792, F8, 13) (dual of [32792, 32732, 14]-code), using
- construction X with Varšamov bound [i] based on
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
None.