Information on Result #1622079
Linear OOA(3191, 1822, F3, 5, 35) (dual of [(1822, 5), 8919, 36]-NRT-code), using OOA 2-folding based on linear OOA(3191, 3644, F3, 3, 35) (dual of [(3644, 3), 10741, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3191, 3645, F3, 3, 35) (dual of [(3645, 3), 10744, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3191, 3645, F3, 35) (dual of [3645, 3454, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(3191, 6591, F3, 35) (dual of [6591, 6400, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(30) [i] based on
- linear OA(3185, 6561, F3, 35) (dual of [6561, 6376, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3161, 6561, F3, 31) (dual of [6561, 6400, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(36, 30, F3, 3) (dual of [30, 24, 4]-code or 30-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to Ce(34) ⊂ Ce(30) [i] based on
- discarding factors / shortening the dual code based on linear OA(3191, 6591, F3, 35) (dual of [6591, 6400, 36]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3191, 3645, F3, 35) (dual of [3645, 3454, 36]-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
None.