Information on Result #2799070
Linear OOA(3214, 132871, F3, 4, 26) (dual of [(132871, 4), 531270, 27]-NRT-code), using 32 times duplication based on linear OOA(3212, 132871, F3, 4, 26) (dual of [(132871, 4), 531272, 27]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3212, 531484, F3, 26) (dual of [531484, 531272, 27]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3211, 531483, F3, 26) (dual of [531483, 531272, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- linear OA(3205, 531441, F3, 26) (dual of [531441, 531236, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(36, 42, F3, 3) (dual of [42, 36, 4]-code or 42-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 Ce(25) ⊂ Ce(21) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3211, 531483, F3, 26) (dual of [531483, 531272, 27]-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.