Information on Result #899739
Linear OOA(25101, 4194642, F25, 2, 17) (dual of [(4194642, 2), 8389183, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2520, 341, F25, 2, 8) (dual of [(341, 2), 662, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(255, 27, F25, 2, 4) (dual of [(27, 2), 49, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 27)-net over F25, using
- net from sequence [i] based on digital (1, 26)-sequence over F25, using
- extracting embedded OOA [i] based on digital (1, 5, 27)-net over F25, using
- linear OOA(2515, 314, F25, 2, 8) (dual of [(314, 2), 613, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2515, 628, F25, 8) (dual of [628, 613, 9]-code), using
- construction XX applied to C1 = C([623,5]), C2 = C([0,6]), C3 = C1 + C2 = C([0,5]), and C∩ = C1 ∩ C2 = C([623,6]) [i] based on
- linear OA(2513, 624, F25, 7) (dual of [624, 611, 8]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,5}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2513, 624, F25, 7) (dual of [624, 611, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2515, 624, F25, 8) (dual of [624, 609, 9]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,6}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(2511, 624, F25, 6) (dual of [624, 613, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(250, 2, F25, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([623,5]), C2 = C([0,6]), C3 = C1 + C2 = C([0,5]), and C∩ = C1 ∩ C2 = C([623,6]) [i] based on
- OOA 2-folding [i] based on linear OA(2515, 628, F25, 8) (dual of [628, 613, 9]-code), using
- linear OOA(255, 27, F25, 2, 4) (dual of [(27, 2), 49, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2581, 4194301, F25, 2, 17) (dual of [(4194301, 2), 8388521, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2581, 8388602, F25, 17) (dual of [8388602, 8388521, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2581, large, F25, 17) (dual of [large, large−81, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2581, large, F25, 17) (dual of [large, large−81, 18]-code), using
- OOA 2-folding [i] based on linear OA(2581, 8388602, F25, 17) (dual of [8388602, 8388521, 18]-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.