Information on Result #963075
Linear OOA(4180, 5482, F4, 3, 31) (dual of [(5482, 3), 16266, 32]-NRT-code), using OOA 3-folding based on linear OA(4180, 16446, F4, 31) (dual of [16446, 16266, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(4180, 16448, F4, 31) (dual of [16448, 16268, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(21) [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(4113, 16384, F4, 22) (dual of [16384, 16271, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(418, 64, F4, 8) (dual of [64, 46, 9]-code), using
- 1 times truncation [i] based on linear OA(419, 65, F4, 9) (dual of [65, 46, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(419, 65, F4, 9) (dual of [65, 46, 10]-code), using
- construction X applied to Ce(30) ⊂ Ce(21) [i] based on
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.