Information on Result #1579663
Linear OOA(3213, 5672, F3, 4, 33) (dual of [(5672, 4), 22475, 34]-NRT-code), using OOA 2-folding based on linear OOA(3213, 11344, F3, 2, 33) (dual of [(11344, 2), 22475, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3213, 11344, F3, 33) (dual of [11344, 11131, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(3213, 19736, F3, 33) (dual of [19736, 19523, 34]-code), using
- construction X applied to Ce(33) ⊂ Ce(25) [i] based on
- linear OA(3199, 19683, F3, 34) (dual of [19683, 19484, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3154, 19683, F3, 26) (dual of [19683, 19529, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(314, 53, F3, 6) (dual of [53, 39, 7]-code), using
- construction X applied to Ce(33) ⊂ Ce(25) [i] based on
- discarding factors / shortening the dual code based on linear OA(3213, 19736, F3, 33) (dual of [19736, 19523, 34]-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.