Information on Result #1620702
Linear OOA(363, 1023, F3, 5, 12) (dual of [(1023, 5), 5052, 13]-NRT-code), using OOA 2-folding based on linear OOA(363, 2046, F3, 3, 12) (dual of [(2046, 3), 6075, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(363, 2047, F3, 3, 12) (dual of [(2047, 3), 6078, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(363, 2047, F3, 12) (dual of [2047, 1984, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(363, 2214, F3, 12) (dual of [2214, 2151, 13]-code), using
- construction X applied to Ce(12) ⊂ Ce(7) [i] based on
- linear OA(357, 2187, F3, 13) (dual of [2187, 2130, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(336, 2187, F3, 8) (dual of [2187, 2151, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(36, 27, F3, 3) (dual of [27, 21, 4]-code or 27-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(12) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(363, 2214, F3, 12) (dual of [2214, 2151, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(363, 2047, F3, 12) (dual of [2047, 1984, 13]-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.