Information on Result #2496913
Linear OOA(4171, 8210, F4, 2, 31) (dual of [(8210, 2), 16249, 32]-NRT-code), using 41 times duplication based on linear OOA(4170, 8210, F4, 2, 31) (dual of [(8210, 2), 16250, 32]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4170, 16420, F4, 31) (dual of [16420, 16250, 32]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4169, 16419, F4, 31) (dual of [16419, 16250, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- linear OA(4162, 16384, F4, 31) (dual of [16384, 16222, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4134, 16384, F4, 26) (dual of [16384, 16250, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to Ce(30) ⊂ Ce(25) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4169, 16419, F4, 31) (dual of [16419, 16250, 32]-code), using
Mode: Constructive and 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.