Information on Result #1479686
Linear OOA(4149, 2127, F4, 3, 31) (dual of [(2127, 3), 6232, 32]-NRT-code), using OOA 2-folding based on linear OOA(4149, 4254, F4, 2, 31) (dual of [(4254, 2), 8359, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4149, 4255, F4, 2, 31) (dual of [(4255, 2), 8361, 32]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4149, 4255, F4, 31) (dual of [4255, 4106, 32]-code), using
- 143 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 4 times 0, 1, 7 times 0, 1, 13 times 0, 1, 21 times 0, 1, 35 times 0, 1, 53 times 0) [i] based on linear OA(4139, 4102, F4, 31) (dual of [4102, 3963, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- linear OA(4139, 4096, F4, 31) (dual of [4096, 3957, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4133, 4096, F4, 30) (dual of [4096, 3963, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(40, 6, F4, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(30) ⊂ Ce(29) [i] based on
- 143 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 0, 1, 4 times 0, 1, 7 times 0, 1, 13 times 0, 1, 21 times 0, 1, 35 times 0, 1, 53 times 0) [i] based on linear OA(4139, 4102, F4, 31) (dual of [4102, 3963, 32]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4149, 4255, F4, 31) (dual of [4255, 4106, 32]-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.