Information on Result #1643069
Linear OOA(3120, 1594335, F3, 5, 13) (dual of [(1594335, 5), 7971555, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3120, 1594335, F3, 3, 13) (dual of [(1594335, 3), 4782885, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3120, 4783005, F3, 13) (dual of [4783005, 4782885, 14]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3119, 4783004, F3, 13) (dual of [4783004, 4782885, 14]-code), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- linear OA(3113, 4782970, F3, 13) (dual of [4782970, 4782857, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(385, 4782970, F3, 9) (dual of [4782970, 4782885, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 4782970 | 328−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(36, 34, F3, 3) (dual of [34, 28, 4]-code or 34-cap in PG(5,3)), using
- discarding factors / shortening the dual code based on linear OA(36, 48, F3, 3) (dual of [48, 42, 4]-code or 48-cap in PG(5,3)), using
- construction X applied to C([0,6]) ⊂ C([0,4]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3119, 4783004, F3, 13) (dual of [4783004, 4782885, 14]-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.