Information on Result #1581071
Linear OOA(3246, 1037, F3, 4, 52) (dual of [(1037, 4), 3902, 53]-NRT-code), using OOA 2-folding based on linear OOA(3246, 2074, F3, 2, 52) (dual of [(2074, 2), 3902, 53]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3246, 2075, F3, 2, 52) (dual of [(2075, 2), 3904, 53]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3246, 2075, F3, 52) (dual of [2075, 1829, 53]-code), using
- discarding factors / shortening the dual code based on linear OA(3246, 2214, F3, 52) (dual of [2214, 1968, 53]-code), using
- construction X applied to Ce(51) ⊂ Ce(46) [i] based on
- linear OA(3239, 2187, F3, 52) (dual of [2187, 1948, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(3218, 2187, F3, 47) (dual of [2187, 1969, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(37, 27, F3, 4) (dual of [27, 20, 5]-code), using
- an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- construction X applied to Ce(51) ⊂ Ce(46) [i] based on
- discarding factors / shortening the dual code based on linear OA(3246, 2214, F3, 52) (dual of [2214, 1968, 53]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3246, 2075, F3, 52) (dual of [2075, 1829, 53]-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.