Information on Result #1381623
Linear OOA(2573, 356, F25, 2, 34) (dual of [(356, 2), 639, 35]-NRT-code), using OOA 2-folding based on linear OA(2573, 712, F25, 34) (dual of [712, 639, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(2573, 713, F25, 34) (dual of [713, 640, 35]-code), using
- 76 step Varšamov–Edel lengthening with (ri) = (5, 0, 1, 4 times 0, 1, 10 times 0, 1, 20 times 0, 1, 36 times 0) [i] based on linear OA(2564, 628, F25, 34) (dual of [628, 564, 35]-code), using
- construction XX applied to C1 = C([623,31]), C2 = C([0,32]), C3 = C1 + C2 = C([0,31]), and C∩ = C1 ∩ C2 = C([623,32]) [i] based on
- linear OA(2562, 624, F25, 33) (dual of [624, 562, 34]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,31}, and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2562, 624, F25, 33) (dual of [624, 562, 34]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,32], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(2564, 624, F25, 34) (dual of [624, 560, 35]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,32}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(2560, 624, F25, 32) (dual of [624, 564, 33]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33 [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([623,31]), C2 = C([0,32]), C3 = C1 + C2 = C([0,31]), and C∩ = C1 ∩ C2 = C([623,32]) [i] based on
- 76 step Varšamov–Edel lengthening with (ri) = (5, 0, 1, 4 times 0, 1, 10 times 0, 1, 20 times 0, 1, 36 times 0) [i] based on linear OA(2564, 628, F25, 34) (dual of [628, 564, 35]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.