Information on Result #1580240
Linear OOA(3239, 3122, F3, 4, 41) (dual of [(3122, 4), 12249, 42]-NRT-code), using OOA 2-folding based on linear OOA(3239, 6244, F3, 2, 41) (dual of [(6244, 2), 12249, 42]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3239, 6244, F3, 41) (dual of [6244, 6005, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(3239, 6631, F3, 41) (dual of [6631, 6392, 42]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3238, 6630, F3, 41) (dual of [6630, 6392, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(31) [i] based on
- linear OA(3217, 6561, F3, 41) (dual of [6561, 6344, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(3169, 6561, F3, 32) (dual of [6561, 6392, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(321, 69, F3, 8) (dual of [69, 48, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(321, 80, F3, 8) (dual of [80, 59, 9]-code), using
- construction X applied to Ce(40) ⊂ Ce(31) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3238, 6630, F3, 41) (dual of [6630, 6392, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(3239, 6631, F3, 41) (dual of [6631, 6392, 42]-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.