Information on Result #1011847
Linear OOA(4115, 2796717, F4, 3, 11) (dual of [(2796717, 3), 8390036, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(418, 516, F4, 3, 5) (dual of [(516, 3), 1530, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(418, 517, F4, 2, 5) (dual of [(517, 2), 1016, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(42, 5, F4, 2, 2) (dual of [(5, 2), 8, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;8,4) [i]
- linear OOA(416, 512, F4, 2, 5) (dual of [(512, 2), 1008, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(416, 1024, F4, 5) (dual of [1024, 1008, 6]-code), using
- an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- OOA 2-folding [i] based on linear OA(416, 1024, F4, 5) (dual of [1024, 1008, 6]-code), using
- linear OOA(42, 5, F4, 2, 2) (dual of [(5, 2), 8, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(418, 517, F4, 2, 5) (dual of [(517, 2), 1016, 6]-NRT-code), using
- linear OOA(497, 2796201, F4, 3, 11) (dual of [(2796201, 3), 8388506, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(497, large, F4, 11) (dual of [large, large−97, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, 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(497, large, F4, 11) (dual of [large, large−97, 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.