Information on Result #2677318
Linear OOA(3243, 3188651, F3, 3, 20) (dual of [(3188651, 3), 9565710, 21]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3240, 3188650, F3, 3, 20) (dual of [(3188650, 3), 9565710, 21]-NRT-code), using
- trace code [i] based on linear OOA(9120, 1594325, F9, 3, 20) (dual of [(1594325, 3), 4782855, 21]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9120, 4782975, F9, 20) (dual of [4782975, 4782855, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(9120, 4782976, F9, 20) (dual of [4782976, 4782856, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(9120, 4782969, F9, 20) (dual of [4782969, 4782849, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(9113, 4782969, F9, 19) (dual of [4782969, 4782856, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(9120, 4782976, F9, 20) (dual of [4782976, 4782856, 21]-code), using
- OOA 3-folding [i] based on linear OA(9120, 4782975, F9, 20) (dual of [4782975, 4782855, 21]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.