Information on Result #1485628
Linear OOA(5108, 1741, F5, 3, 25) (dual of [(1741, 3), 5115, 26]-NRT-code), using OOA 2-folding based on linear OOA(5108, 3482, F5, 2, 25) (dual of [(3482, 2), 6856, 26]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5108, 3483, F5, 2, 25) (dual of [(3483, 2), 6858, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5108, 3483, F5, 25) (dual of [3483, 3375, 26]-code), using
- 351 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 11 times 0, 1, 25 times 0, 1, 52 times 0, 1, 97 times 0, 1, 154 times 0) [i] based on linear OA(5100, 3124, F5, 25) (dual of [3124, 3024, 26]-code), using
- 1 times truncation [i] based on linear OA(5101, 3125, F5, 26) (dual of [3125, 3024, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 1 times truncation [i] based on linear OA(5101, 3125, F5, 26) (dual of [3125, 3024, 27]-code), using
- 351 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 11 times 0, 1, 25 times 0, 1, 52 times 0, 1, 97 times 0, 1, 154 times 0) [i] based on linear OA(5100, 3124, F5, 25) (dual of [3124, 3024, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5108, 3483, F5, 25) (dual of [3483, 3375, 26]-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.