Information on Result #900506
Linear OOA(2761, 4195004, F27, 2, 11) (dual of [(4195004, 2), 8389947, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2710, 703, F27, 2, 5) (dual of [(703, 2), 1396, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2710, 1406, F27, 5) (dual of [1406, 1396, 6]-code), using
- (u, u+v)-construction [i] based on
- linear OA(273, 703, F27, 2) (dual of [703, 700, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(273, 728, F27, 2) (dual of [728, 725, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(273, 728, F27, 2) (dual of [728, 725, 3]-code), using
- linear OA(277, 703, F27, 5) (dual of [703, 696, 6]-code), using
- linear OA(273, 703, F27, 2) (dual of [703, 700, 3]-code), using
- (u, u+v)-construction [i] based on
- OOA 2-folding [i] based on linear OA(2710, 1406, F27, 5) (dual of [1406, 1396, 6]-code), using
- linear OOA(2751, 4194301, F27, 2, 11) (dual of [(4194301, 2), 8388551, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2751, 8388602, F27, 11) (dual of [8388602, 8388551, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2751, large, F27, 11) (dual of [large, large−51, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2751, large, F27, 11) (dual of [large, large−51, 12]-code), using
- OOA 2-folding [i] based on linear OA(2751, 8388602, F27, 11) (dual of [8388602, 8388551, 12]-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.