Information on Result #1477310
Linear OOA(3232, 1098, F3, 3, 48) (dual of [(1098, 3), 3062, 49]-NRT-code), using OOA 2-folding based on linear OOA(3232, 2196, F3, 2, 48) (dual of [(2196, 2), 4160, 49]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3232, 2197, F3, 2, 48) (dual of [(2197, 2), 4162, 49]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3232, 2197, F3, 48) (dual of [2197, 1965, 49]-code), using
- discarding factors / shortening the dual code based on linear OA(3232, 2216, F3, 48) (dual of [2216, 1984, 49]-code), using
- construction XX applied to Ce(48) ⊂ Ce(43) ⊂ Ce(42) [i] based on
- linear OA(3225, 2187, F3, 49) (dual of [2187, 1962, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(3204, 2187, F3, 44) (dual of [2187, 1983, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(3197, 2187, F3, 43) (dual of [2187, 1990, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(36, 28, F3, 3) (dual of [28, 22, 4]-code or 28-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
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(48) ⊂ Ce(43) ⊂ Ce(42) [i] based on
- discarding factors / shortening the dual code based on linear OA(3232, 2216, F3, 48) (dual of [2216, 1984, 49]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3232, 2197, F3, 48) (dual of [2197, 1965, 49]-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.