Information on Result #2486849
Linear OOA(3213, 797177, F3, 2, 24) (dual of [(797177, 2), 1594141, 25]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3211, 797176, F3, 2, 24) (dual of [(797176, 2), 1594141, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3211, 1594352, F3, 24) (dual of [1594352, 1594141, 25]-code), using
- 1 times code embedding in larger space [i] based on linear OA(3210, 1594351, F3, 24) (dual of [1594351, 1594141, 25]-code), using
- construction X4 applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(3209, 1594323, F3, 25) (dual of [1594323, 1594114, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(3183, 1594323, F3, 22) (dual of [1594323, 1594140, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(327, 28, F3, 27) (dual of [28, 1, 28]-code or 28-arc in PG(26,3)), using
- dual of repetition code with length 28 [i]
- linear OA(31, 28, F3, 1) (dual of [28, 27, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(24) ⊂ Ce(21) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(3210, 1594351, F3, 24) (dual of [1594351, 1594141, 25]-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.