Information on Result #1480829
Linear OOA(4209, 2386, F4, 3, 44) (dual of [(2386, 3), 6949, 45]-NRT-code), using OOA 2-folding based on linear OOA(4209, 4772, F4, 2, 44) (dual of [(4772, 2), 9335, 45]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4209, 4772, F4, 44) (dual of [4772, 4563, 45]-code), using
- 666 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 5 times 0, 1, 12 times 0, 1, 23 times 0, 1, 43 times 0, 1, 69 times 0, 1, 98 times 0, 1, 122 times 0, 1, 137 times 0, 1, 146 times 0) [i] based on linear OA(4198, 4095, F4, 44) (dual of [4095, 3897, 45]-code), using
- 1 times truncation [i] based on linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using
- an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- 1 times truncation [i] based on linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using
- 666 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 5 times 0, 1, 12 times 0, 1, 23 times 0, 1, 43 times 0, 1, 69 times 0, 1, 98 times 0, 1, 122 times 0, 1, 137 times 0, 1, 146 times 0) [i] based on linear OA(4198, 4095, F4, 44) (dual of [4095, 3897, 45]-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.