Information on Result #900809
Linear OOA(27106, 4194671, F27, 2, 18) (dual of [(4194671, 2), 8389236, 19]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2720, 370, F27, 2, 9) (dual of [(370, 2), 720, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2720, 740, F27, 9) (dual of [740, 720, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2720, 741, F27, 9) (dual of [741, 721, 10]-code), using
- construction X applied to C([0,4]) ⊂ C([0,2]) [i] based on
- linear OA(2717, 730, F27, 9) (dual of [730, 713, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(279, 730, F27, 5) (dual of [730, 721, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 274−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(273, 11, F27, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,27) or 11-cap in PG(2,27)), using
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), using
- Reed–Solomon code RS(24,27) [i]
- discarding factors / shortening the dual code based on linear OA(273, 27, F27, 3) (dual of [27, 24, 4]-code or 27-arc in PG(2,27) or 27-cap in PG(2,27)), using
- construction X applied to C([0,4]) ⊂ C([0,2]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2720, 741, F27, 9) (dual of [741, 721, 10]-code), using
- OOA 2-folding [i] based on linear OA(2720, 740, F27, 9) (dual of [740, 720, 10]-code), using
- linear OOA(2786, 4194301, F27, 2, 18) (dual of [(4194301, 2), 8388516, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2786, 8388602, F27, 18) (dual of [8388602, 8388516, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2786, large, F27, 18) (dual of [large, large−86, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(2786, large, F27, 18) (dual of [large, large−86, 19]-code), using
- OOA 2-folding [i] based on linear OA(2786, 8388602, F27, 18) (dual of [8388602, 8388516, 19]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.