Information on Result #1013127
Linear OOA(5139, 5593914, F5, 3, 11) (dual of [(5593914, 3), 16781603, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(540, 4194301, F5, 3, 5) (dual of [(4194301, 3), 12582863, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(540, large, F5, 5) (dual of [large, large−40, 6]-code), using
- the primitive narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- OOA 2-folding and stacking with additional row [i] based on linear OA(540, large, F5, 5) (dual of [large, large−40, 6]-code), using
- linear OOA(599, 2796957, F5, 3, 11) (dual of [(2796957, 3), 8390772, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(518, 756, F5, 3, 5) (dual of [(756, 3), 2250, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(518, 757, F5, 2, 5) (dual of [(757, 2), 1496, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(54, 156, F5, 2, 2) (dual of [(156, 2), 308, 3]-NRT-code), using
- appending kth column [i] based on linear OA(54, 156, F5, 2) (dual of [156, 152, 3]-code), using
- Hamming code H(4,5) [i]
- appending kth column [i] based on linear OA(54, 156, F5, 2) (dual of [156, 152, 3]-code), using
- linear OOA(514, 601, F5, 2, 5) (dual of [(601, 2), 1188, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(514, 1202, F5, 5) (dual of [1202, 1188, 6]-code), using
- trace code [i] based on linear OA(257, 601, F25, 5) (dual of [601, 594, 6]-code), using
- OOA 2-folding [i] based on linear OA(514, 1202, F5, 5) (dual of [1202, 1188, 6]-code), using
- linear OOA(54, 156, F5, 2, 2) (dual of [(156, 2), 308, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(518, 757, F5, 2, 5) (dual of [(757, 2), 1496, 6]-NRT-code), using
- linear OOA(581, 2796201, F5, 3, 11) (dual of [(2796201, 3), 8388522, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(581, large, F5, 11) (dual of [large, large−81, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 520−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(581, large, F5, 11) (dual of [large, large−81, 12]-code), using
- linear OOA(518, 756, F5, 3, 5) (dual of [(756, 3), 2250, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
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.