Information on Result #1605462
Linear OOA(3156, 7358, F3, 4, 26) (dual of [(7358, 4), 29276, 27]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3156, 7358, F3, 2, 26) (dual of [(7358, 2), 14560, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3156, 9847, F3, 2, 26) (dual of [(9847, 2), 19538, 27]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3154, 9846, F3, 2, 26) (dual of [(9846, 2), 19538, 27]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3154, 19692, F3, 26) (dual of [19692, 19538, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- 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(3145, 19683, F3, 25) (dual of [19683, 19538, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 19682 = 39−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(30, 9, F3, 0) (dual of [9, 9, 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(25) ⊂ Ce(24) [i] based on
- OOA 2-folding [i] based on linear OA(3154, 19692, F3, 26) (dual of [19692, 19538, 27]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3154, 9846, F3, 2, 26) (dual of [(9846, 2), 19538, 27]-NRT-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.