Information on Result #1622068
Linear OOA(3179, 1169, F3, 5, 35) (dual of [(1169, 5), 5666, 36]-NRT-code), using OOA 2-folding based on linear OOA(3179, 2338, F3, 3, 35) (dual of [(2338, 3), 6835, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3179, 2339, F3, 3, 35) (dual of [(2339, 3), 6838, 36]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3179, 2339, F3, 35) (dual of [2339, 2160, 36]-code), using
- 128 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 1, 0, 1, 0, 0, 1, 4 times 0, 1, 5 times 0, 1, 7 times 0, 1, 10 times 0, 1, 14 times 0, 1, 18 times 0, 1, 23 times 0, 1, 30 times 0) [i] based on linear OA(3162, 2194, F3, 35) (dual of [2194, 2032, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(33) [i] based on
- linear OA(3162, 2187, F3, 35) (dual of [2187, 2025, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3155, 2187, F3, 34) (dual of [2187, 2032, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(34) ⊂ Ce(33) [i] based on
- 128 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 1, 0, 1, 0, 0, 1, 4 times 0, 1, 5 times 0, 1, 7 times 0, 1, 10 times 0, 1, 14 times 0, 1, 18 times 0, 1, 23 times 0, 1, 30 times 0) [i] based on linear OA(3162, 2194, F3, 35) (dual of [2194, 2032, 36]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3179, 2339, F3, 35) (dual of [2339, 2160, 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.