Information on Result #1736256
Digital (18, 31, 305)-net over F25, using net defined by OOA based on linear OOA(2531, 305, F25, 14, 13) (dual of [(305, 14), 4239, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2531, 916, F25, 2, 13) (dual of [(916, 2), 1801, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2531, 917, F25, 2, 13) (dual of [(917, 2), 1803, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2531, 917, F25, 13) (dual of [917, 886, 14]-code), using
- 283 step Varšamov–Edel lengthening with (ri) = (3, 4 times 0, 1, 23 times 0, 1, 80 times 0, 1, 172 times 0) [i] based on linear OA(2525, 628, F25, 13) (dual of [628, 603, 14]-code), using
- construction XX applied to C1 = C([623,10]), C2 = C([0,11]), C3 = C1 + C2 = C([0,10]), and C∩ = C1 ∩ C2 = C([623,11]) [i] based on
- linear OA(2523, 624, F25, 12) (dual of [624, 601, 13]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,10}, and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2523, 624, F25, 12) (dual of [624, 601, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(2525, 624, F25, 13) (dual of [624, 599, 14]-code), using the primitive BCH-code C(I) with length 624 = 252−1, defining interval I = {−1,0,…,11}, and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(2521, 624, F25, 11) (dual of [624, 603, 12]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [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([623,10]), C2 = C([0,11]), C3 = C1 + C2 = C([0,10]), and C∩ = C1 ∩ C2 = C([623,11]) [i] based on
- 283 step Varšamov–Edel lengthening with (ri) = (3, 4 times 0, 1, 23 times 0, 1, 80 times 0, 1, 172 times 0) [i] based on linear OA(2525, 628, F25, 13) (dual of [628, 603, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(2531, 917, F25, 13) (dual of [917, 886, 14]-code), using
- discarding factors / shortening the dual code based on linear OOA(2531, 917, F25, 2, 13) (dual of [(917, 2), 1803, 14]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.