Information on Result #1361914
Linear OOA(3103, 1118, F3, 2, 20) (dual of [(1118, 2), 2133, 21]-NRT-code), using OOA 2-folding based on linear OA(3103, 2236, F3, 20) (dual of [2236, 2133, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3103, 2237, F3, 20) (dual of [2237, 2134, 21]-code), using
- 32 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 0, 0, 1, 0, 0, 1, 4 times 0, 1, 7 times 0, 1, 9 times 0) [i] based on linear OA(392, 2194, F3, 20) (dual of [2194, 2102, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(392, 2187, F3, 20) (dual of [2187, 2095, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(385, 2187, F3, 19) (dual of [2187, 2102, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(30, 7, F3, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- 32 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 0, 0, 1, 0, 0, 1, 4 times 0, 1, 7 times 0, 1, 9 times 0) [i] based on linear OA(392, 2194, F3, 20) (dual of [2194, 2102, 21]-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.